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40872303945 = 34511137167401
BaseRepresentation
bin100110000100001011…
…011101110101001001
310220111110110011120000
4212010023131311021
51132201302211240
630435415153213
72644565564664
oct460413356511
9126443404500
1040872303945
11163743939a0
127b08075809
133b149cc845
141d9a3986db
1510e3392430
hex9842ddd49

40872303945 has 160 divisors (see below), whose sum is σ = 81195561216. Its totient is φ = 19505664000.

The previous prime is 40872303919. The next prime is 40872303973. The reversal of 40872303945 is 54930327804.

40872303945 is a `hidden beast` number, since 408 + 7 + 230 + 3 + 9 + 4 + 5 = 666.

It is not a de Polignac number, because 40872303945 - 27 = 40872303817 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 40872303945.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 101925745 + ... + 101926145.

Almost surely, 240872303945 is an apocalyptic number.

40872303945 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40872303945 is a deficient number, since it is larger than the sum of its proper divisors (40323257271).

40872303945 is a wasteful number, since it uses less digits than its factorization.

40872303945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

It can be divided in two parts, 4087 and 2303945, that added together give a palindrome (2308032).

The spelling of 40872303945 in words is "forty billion, eight hundred seventy-two million, three hundred three thousand, nine hundred forty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 81 99 135 137 165 167 297 401 405 411 495 501 685 835 891 1203 1233 1485 1503 1507 1837 2005 2055 2505 3609 3699 4411 4455 4509 4521 5511 6015 6165 7515 7535 9185 10827 11097 13233 13527 13563 16533 18045 18495 22055 22545 22605 22879 27555 32481 39699 40689 49599 54135 54937 55485 66165 66967 67635 67815 68637 82665 114395 119097 122067 148797 162405 164811 198495 200901 203445 205911 247995 251669 274685 334835 343185 357291 494433 595485 602703 604307 610335 617733 736637 743985 755007 824055 1004505 1029555 1258345 1483299 1786455 1808109 1812921 1853199 2209911 2265021 2472165 3013515 3021535 3088665 3683185 3775035 4449897 5424327 5438763 6629733 6795063 7416495 9040545 9064605 9174479 9265995 11049555 11325105 16316289 19889199 20385189 22249485 27121635 27193815 27523437 33148665 33975315 45872395 48948867 59667597 81581445 82570311 99445995 100919269 101925945 137617185 244744335 247710933 298337985 302757807 412851555 504596345 743132799 908273421 1238554665 1513789035 2724820263 3715663995 4541367105 8174460789 13624101315 40872303945