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1233030040424 = 237313291191923
BaseRepresentation
bin10001111100010110010…
…100010100101101101000
311100212122222120000101222
4101330112110110231220
5130200221142243144
62342240213001212
7155040430262000
oct21742624245550
94325588500358
101233030040424
11435a1a349366
1217ab77323208
138c374651820
1443971159000
152211983e2ee
hex11f16514b68

1233030040424 has 128 divisors (see below), whose sum is σ = 3003648480000. Its totient is φ = 470971291392.

The previous prime is 1233030040409. The next prime is 1233030040477. The reversal of 1233030040424 is 4240400303321.

It is a super-2 number, since 2×12330300404242 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 1233030040393 and 1233030040402.

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, 438527 + ... + 1630449.

It is an arithmetic number, because the mean of its divisors is an integer number (23466003750).

Almost surely, 21233030040424 is an apocalyptic number.

1233030040424 is a gapful number since it is divisible by the number (14) 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 1233030040424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501824240000).

1233030040424 is an abundant number, since it is smaller than the sum of its proper divisors (1770618439576).

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

1233030040424 is a wasteful number, since it uses less digits than its factorization.

1233030040424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191992 (or 1191974 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 1233030040424 its reverse (4240400303321), we get a palindrome (5473430343745).

The spelling of 1233030040424 in words is "one trillion, two hundred thirty-three billion, thirty million, forty thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 26 28 29 49 52 56 58 91 98 104 116 182 196 203 232 343 364 377 392 406 637 686 728 754 812 1274 1372 1421 1508 1624 2548 2639 2744 2842 3016 4459 5096 5278 5684 8918 9947 10556 11368 17836 18473 19894 21112 35672 36946 39788 73892 79576 129311 147784 258622 517244 1034488 1191923 2383846 4767692 8343461 9535384 15494999 16686922 30989998 33373844 34565767 58404227 61979996 66747688 69131534 108464993 116808454 123959992 138263068 216929986 233616908 241960369 276526136 408829589 433859972 449354971 467233816 483920738 759254951 817659178 867719944 898709942 967841476 1518509902 1635318356 1693722583 1797419884 1935682952 3037019804 3145484797 3270636712 3387445166 3594839768 5314784657 6074039608 6290969594 6774890332 10629569314 11856058081 12581939188 13549780664 21259138628 22018393579 23712116162 25163878376 42518277256 44036787158 47424232324 88073574316 94848464648 154128755053 176147148632 308257510106 616515020212 1233030040424