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40100203052040 = 23352351631722501
BaseRepresentation
bin10010001111000100011100…
…10110111011110000001000
312020222112122002122110121010
421013202032112323300020
520224000203440131130
6221141440131243520
711306100261660465
oct1107421626736010
9166875562573533
1040100203052040
111186044523817a
1245b7830a495a0
13194b58218c731
149c8c084b466c
15498171bb50b0
hex24788e5bbc08

40100203052040 has 128 divisors (see below), whose sum is σ = 120376180753920. Its totient is φ = 10686672000000.

The previous prime is 40100203052029. The next prime is 40100203052047. The reversal of 40100203052040 is 4025030200104.

It is a junction number, because it is equal to n+sod(n) for n = 40100203051998 and 40100203052016.

It is not an unprimeable number, because it can be changed into a prime (40100203052047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1782140790 + ... + 1782163290.

It is an arithmetic number, because the mean of its divisors is an integer number (940438912140).

Almost surely, 240100203052040 is an apocalyptic number.

40100203052040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40100203052040 is an abundant number, since it is smaller than the sum of its proper divisors (80275977701880).

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

40100203052040 is a wasteful number, since it uses less digits than its factorization.

40100203052040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31183 (or 31179 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 40100203052040 its reverse (4025030200104), we get a palindrome (44125233252144).

The spelling of 40100203052040 in words is "forty trillion, one hundred billion, two hundred three million, fifty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2351 4702 6317 7053 9404 11755 12634 14106 18808 18951 22501 23510 25268 28212 31585 35265 37902 45002 47020 50536 56424 63170 67503 70530 75804 90004 94040 94755 112505 126340 135006 141060 151608 180008 189510 225010 252680 270012 282120 337515 379020 450020 540024 675030 758040 900040 1350060 2700120 14851267 29702534 44553801 52899851 59405068 74256335 89107602 105799702 118810136 142138817 148512670 158699553 178215204 211599404 222769005 264499255 284277634 297025340 317399106 356430408 423198808 426416451 445538010 528998510 568555268 594050680 634798212 710694085 793497765 852832902 891076020 1057997020 1137110536 1269596424 1421388170 1586995530 1705665804 1782152040 2115994040 2132082255 2842776340 3173991060 3411331608 4264164510 5685552680 6347982120 8528329020 17056658040 334168358767 668336717534 1002505076301 1336673435068 1670841793835 2005010152602 2673346870136 3341683587670 4010020305204 5012525381505 6683367175340 8020040610408 10025050763010 13366734350680 20050101526020 40100203052040