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40046442436 = 227111310397103
BaseRepresentation
bin100101010010111101…
…000011011111000100
310211100220110001112201
4211102331003133010
51124003342124221
630221434124244
72615250100330
oct452275033704
9124326401481
1040046442436
1115a90199a20
127917580684
133a128935b0
141d1c81a7c0
151095b0c891
hex952f437c4

40046442436 has 96 divisors (see below), whose sum is σ = 95009660928. Its totient is φ = 14262341760.

The previous prime is 40046442431. The next prime is 40046442437. The reversal of 40046442436 is 63424464004.

40046442436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×400464424362 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40046442395 and 40046442404.

It is not an unprimeable number, because it can be changed into a prime (40046442431) 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, 363861 + ... + 460963.

It is an arithmetic number, because the mean of its divisors is an integer number (989683968).

Almost surely, 240046442436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40046442436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47504830464).

40046442436 is an abundant number, since it is smaller than the sum of its proper divisors (54963218492).

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

40046442436 is a wasteful number, since it uses less digits than its factorization.

40046442436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97241 (or 97239 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 37.

The spelling of 40046442436 in words is "forty billion, forty-six million, four hundred forty-two thousand, four hundred thirty-six".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 103 143 154 182 206 286 308 364 412 572 721 1001 1133 1339 1442 2002 2266 2678 2884 4004 4532 5356 7931 9373 14729 15862 18746 29458 31724 37492 58916 97103 103103 194206 206206 388412 412412 679721 1068133 1262339 1359442 2136266 2524678 2718884 4272532 5049356 7476931 8836373 10001609 13885729 14953862 17672746 20003218 27771458 29907724 35345492 40006436 55542916 70011263 97200103 110017699 130020917 140022526 194400206 220035398 260041834 280045052 388800412 440070796 520083668 770123893 910146419 1430230087 1540247786 1820292838 2860460174 3080495572 3640585676 5720920348 10011610609 20023221218 40046442436