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40046442440 = 2354018213041
BaseRepresentation
bin100101010010111101…
…000011011111001000
310211100220110001112212
4211102331003133020
51124003342124230
630221434124252
72615250100334
oct452275033710
9124326401485
1040046442440
1115a90199a24
127917580688
133a128935b4
141d1c81a7c4
151095b0c895
hex952f437c8

40046442440 has 64 divisors (see below), whose sum is σ = 90468958320. Its totient is φ = 15953920000.

The previous prime is 40046442437. The next prime is 40046442473. The reversal of 40046442440 is 4424464004.

40046442440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 36289488004 + 3756954436 = 190498^2 + 61294^2 .

It is a junction number, because it is equal to n+sod(n) for n = 40046442397 and 40046442406.

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, 13167320 + ... + 13170360.

Almost surely, 240046442440 is an apocalyptic number.

40046442440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40046442440 is an abundant number, since it is smaller than the sum of its proper divisors (50422515880).

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

40046442440 is a wasteful number, since it uses less digits than its factorization.

40046442440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4274 (or 4270 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

The spelling of 40046442440 in words is "forty billion, forty-six million, four hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 401 802 821 1604 1642 2005 3041 3208 3284 4010 4105 6082 6568 8020 8210 12164 15205 16040 16420 24328 30410 32840 60820 121640 329221 658442 1219441 1316884 1646105 2438882 2496661 2633768 3292210 4877764 4993322 6097205 6584420 9755528 9986644 12194410 12483305 13168840 19973288 24388820 24966610 48777640 49933220 99866440 1001161061 2002322122 4004644244 5005805305 8009288488 10011610610 20023221220 40046442440