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10040505154140 = 2235295997803479
BaseRepresentation
bin1001001000011011110010…
…1111100011101001011100
31022112212022001211021112110
42102012330233203221130
52304000423304413030
633204313331034020
72054255035436556
oct222067457435134
938485261737473
1010040505154140
11322117744991a
121161b00a3b910
1357aa7aa78b56
14269d6a8344d6
1512629ae601b0
hex921bcbe3a5c

10040505154140 has 96 divisors (see below), whose sum is σ = 29575772352000. Its totient is φ = 2541325572352.

The previous prime is 10040505154067. The next prime is 10040505154151. The reversal of 10040505154140 is 4145150504001.

It is a super-3 number, since 3×100405051541403 (a number of 40 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10040505154098 and 10040505154107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48799080 + ... + 49004399.

It is an arithmetic number, because the mean of its divisors is an integer number (308080962000).

Almost surely, 210040505154140 is an apocalyptic number.

10040505154140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10040505154140 is an abundant number, since it is smaller than the sum of its proper divisors (19535267197860).

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

10040505154140 is a wasteful number, since it uses less digits than its factorization.

10040505154140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97803579 (or 97803577 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

Adding to 10040505154140 its reverse (4145150504001), we get a palindrome (14185655658141).

The spelling of 10040505154140 in words is "ten trillion, forty billion, five hundred five million, one hundred fifty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 59 60 87 116 118 145 174 177 236 290 295 348 354 435 580 590 708 870 885 1180 1711 1740 1770 3422 3540 5133 6844 8555 10266 17110 20532 25665 34220 51330 102660 97803479 195606958 293410437 391213916 489017395 586820874 978034790 1173641748 1467052185 1956069580 2836300891 2934104370 5672601782 5770405261 5868208740 8508902673 11345203564 11540810522 14181504455 17017805346 17311215783 23081621044 28363008910 28852026305 34035610692 34622431566 42544513365 56726017820 57704052610 69244863132 85089026730 86556078915 115408105220 167341752569 170178053460 173112157830 334683505138 346224315660 502025257707 669367010276 836708762845 1004050515414 1673417525690 2008101030828 2510126288535 3346835051380 5020252577070 10040505154140