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153004130242000 = 2453431661268531
BaseRepresentation
bin100010110010100000001100…
…110101010000110111010000
3202001202001101220112002202121
4202302200030311100313100
5130023304424320221000
61301225043241024024
744141116660403362
oct4262401465206720
9661661356462677
10153004130242000
114482a761791984
12151b1285785014
13674b2c5c8c19b
1429ad621a8ad32
1512a4ec6573b1a
hex8b280cd50dd0

153004130242000 has 160 divisors (see below), whose sum is σ = 371384757139968. Its totient is φ = 60967051200000.

The previous prime is 153004130241967. The next prime is 153004130242087. The reversal of 153004130242000 is 242031400351.

It is a super-2 number, since 2×1530041302420002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 569647735 + ... + 569916265.

Almost surely, 2153004130242000 is an apocalyptic number.

153004130242000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153004130242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185692378569984).

153004130242000 is an abundant number, since it is smaller than the sum of its proper divisors (218380626897968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

153004130242000 is a wasteful number, since it uses less digits than its factorization.

153004130242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269646 (or 269630 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 153004130242000 its reverse (242031400351), we get a palindrome (153246161642351).

The spelling of 153004130242000 in words is "one hundred fifty-three trillion, four billion, one hundred thirty million, two hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 431 500 661 862 1000 1322 1724 2000 2155 2644 3305 3448 4310 5288 6610 6896 8620 10576 10775 13220 16525 17240 21550 26440 33050 34480 43100 52880 53875 66100 82625 86200 107750 132200 165250 172400 215500 264400 268531 284891 330500 431000 537062 569782 661000 862000 1074124 1139564 1322000 1342655 1424455 2148248 2279128 2685310 2848910 4296496 4558256 5370620 5697820 6713275 7122275 10741240 11395640 13426550 14244550 21482480 22791280 26853100 28489100 33566375 35611375 53706200 56978200 67132750 71222750 107412400 113956400 115736861 134265500 142445500 177498991 231473722 268531000 284891000 354997982 462947444 537062000 569782000 578684305 709995964 887494955 925894888 1157368610 1419991928 1774989910 1851789776 2314737220 2839983856 2893421525 3549979820 4437474775 4629474440 5786843050 7099959640 8874949550 9258948880 11573686100 14199919280 14467107625 17749899100 22187373875 23147372200 28934215250 35499798200 44374747750 46294744400 57868430500 70999596400 76502065121 88749495500 115736861000 153004130242 177498991000 231473722000 306008260484 354997982000 382510325605 612016520968 765020651210 1224033041936 1530041302420 1912551628025 3060082604840 3825103256050 6120165209680 7650206512100 9562758140125 15300413024200 19125516280250 30600826048400 38251032560500 76502065121000 153004130242000