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40756107289332 = 22367317159910649
BaseRepresentation
bin10010100010001010001010…
…10011000010001011110100
312100022020122012012000122110
421101011011103002023310
520320222001431224312
6222403032555331020
711404350222003201
oct1121050523021364
9170266565160573
1040756107289332
1111a93628067676
1246a2981a50a70
131998390b66796
14a0c86b28aca8
154aa25e8e643c
hex2511454c22f4

40756107289332 has 48 divisors (see below), whose sum is σ = 96821421076800. Its totient is φ = 13340385898752.

The previous prime is 40756107289279. The next prime is 40756107289351. The reversal of 40756107289332 is 23398270165704.

It is a super-2 number, since 2×407561072893322 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79700457 + ... + 80210192.

It is an arithmetic number, because the mean of its divisors is an integer number (2017112939100).

It is a 1-persistent number, because it is pandigital, but 2⋅40756107289332 = 81512214578664 is not.

Almost surely, 240756107289332 is an apocalyptic number.

It is an amenable number.

40756107289332 is an abundant number, since it is smaller than the sum of its proper divisors (56065313787468).

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

40756107289332 is a wasteful number, since it uses less digits than its factorization.

40756107289332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159911040 (or 159911038 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 57.

The spelling of 40756107289332 in words is "forty trillion, seven hundred fifty-six billion, one hundred seven million, two hundred eighty-nine thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 67 134 201 268 317 402 634 804 951 1268 1902 3804 21239 42478 63717 84956 127434 254868 159910649 319821298 479731947 639642596 959463894 1918927788 10714013483 21428026966 32142040449 42856053932 50691675733 64284080898 101383351466 128568161796 152075027199 202766702932 304150054398 608300108796 3396342274111 6792684548222 10189026822333 13585369096444 20378053644666 40756107289332