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140201029290 = 235717330111897
BaseRepresentation
bin1000001010010010100…
…0011110111010101010
3111101212211222020002110
42002210220132322222
54244112430414130
6144224002343150
713062212041350
oct2024450367252
9441784866073
10140201029290
115450590a453
122320905aab6
13102b441993a
146b001db7d0
1539a86d0ab0
hex20a4a1eeaa

140201029290 has 128 divisors (see below), whose sum is σ = 407329648128. Its totient is φ = 30149222400.

The previous prime is 140201029289. The next prime is 140201029291. The reversal of 140201029290 is 92920102041.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (140201029289) and next prime (140201029291).

It is a super-2 number, since 2×1402010292902 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (140201029291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11778622 + ... + 11790518.

It is an arithmetic number, because the mean of its divisors is an integer number (3182262876).

Almost surely, 2140201029290 is an apocalyptic number.

140201029290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 140201029290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203664824064).

140201029290 is an abundant number, since it is smaller than the sum of its proper divisors (267128618838).

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

140201029290 is a wasteful number, since it uses less digits than its factorization.

140201029290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15232.

The product of its (nonzero) digits is 2592, while the sum is 30.

The spelling of 140201029290 in words is "one hundred forty billion, two hundred one million, twenty-nine thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 102 105 119 170 210 238 255 357 510 595 714 1190 1785 3301 3570 6602 9903 11897 16505 19806 23107 23794 33010 35691 46214 49515 56117 59485 69321 71382 83279 99030 112234 115535 118970 138642 166558 168351 178455 202249 231070 249837 280585 336702 346605 356910 392819 404498 416395 499674 561170 606747 693210 785638 832790 841755 1011245 1178457 1213494 1249185 1415743 1683510 1964095 2022490 2356914 2498370 2831486 3033735 3928190 4247229 5892285 6067470 7078715 8494458 11784570 14157430 21236145 39271997 42472290 78543994 117815991 196359985 235631982 274903979 392719970 549807958 589079955 667623949 824711937 1178159910 1335247898 1374519895 1649423874 2002871847 2749039790 3338119745 4005743694 4123559685 4673367643 6676239490 8247119370 9346735286 10014359235 14020102929 20028718470 23366838215 28040205858 46733676430 70100514645 140201029290