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40145740635 = 357111317157277
BaseRepresentation
bin100101011000110111…
…110110001101011011
310211121211021221001210
4211120313312031123
51124204302200020
630235342314203
72620564110420
oct453067661533
9124554257053
1040145740635
1116031251150
127944888963
133a2a31c820
141d2baa7d47
15109e6c43e0
hex958df635b

40145740635 has 128 divisors (see below), whose sum is σ = 91316865024. Its totient is φ = 14494556160.

The previous prime is 40145740627. The next prime is 40145740673. The reversal of 40145740635 is 53604754104.

It is a happy number.

It is not a de Polignac number, because 40145740635 - 23 = 40145740627 is a prime.

It is a super-2 number, since 2×401457406352 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 40145740593 and 40145740602.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 176617 + ... + 333893.

It is an arithmetic number, because the mean of its divisors is an integer number (713413008).

Almost surely, 240145740635 is an apocalyptic number.

40145740635 is an abundant number, since it is smaller than the sum of its proper divisors (51171124389).

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

40145740635 is a wasteful number, since it uses less digits than its factorization.

40145740635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157333.

The product of its (nonzero) digits is 201600, while the sum is 39.

The spelling of 40145740635 in words is "forty billion, one hundred forty-five million, seven hundred forty thousand, six hundred thirty-five".

Divisors: 1 3 5 7 11 13 15 17 21 33 35 39 51 55 65 77 85 91 105 119 143 165 187 195 221 231 255 273 357 385 429 455 561 595 663 715 935 1001 1105 1155 1309 1365 1547 1785 2145 2431 2805 3003 3315 3927 4641 5005 6545 7293 7735 12155 15015 17017 19635 23205 36465 51051 85085 157277 255255 471831 786385 1100939 1730047 2044601 2359155 2673709 3302817 5190141 5504695 6133803 8021127 8650235 10223005 12110329 13368545 14312207 16514085 18715963 22490611 25950705 29410799 30669015 34758217 36330987 40105635 42936621 56147889 60551645 67471833 71561035 88232397 93579815 104274651 112453055 147053995 157434277 173791085 181654935 205875593 214683105 243307519 280739445 337359165 382340387 441161985 472302831 521373255 617626779 729922557 787171385 1029377965 1147021161 1216537595 1911701935 2361514155 2676382709 3088133895 3649612785 5735105805 8029148127 13381913545 40145740635