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40023777536 = 284127114071
BaseRepresentation
bin100101010001100110…
…100110000100000000
310211022022210120010222
4211101212212010000
51123432041340121
630215304242212
72614553332031
oct452146460400
9124268716128
1040023777536
1115a794194a6
12790ba70368
133a0ac89202
141d197daa88
151093b320ab
hex9519a6100

40023777536 has 72 divisors (see below), whose sum is σ = 82147607808. Its totient is φ = 19450368000.

The previous prime is 40023777517. The next prime is 40023777553. The reversal of 40023777536 is 63577732004.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2837381 + ... + 2851451.

Almost surely, 240023777536 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 40023777536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41073803904).

40023777536 is an abundant number, since it is smaller than the sum of its proper divisors (42123830272).

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

40023777536 is a wasteful number, since it uses less digits than its factorization.

40023777536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14399 (or 14385 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 44.

The spelling of 40023777536 in words is "forty billion, twenty-three million, seven hundred seventy-seven thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 271 328 542 656 1084 1312 2168 2624 4336 5248 8672 10496 11111 14071 17344 22222 28142 34688 44444 56284 69376 88888 112568 177776 225136 355552 450272 576911 711104 900544 1153822 1422208 1801088 2307644 2844416 3602176 3813241 4615288 7626482 9230576 15252964 18461152 30505928 36922304 61011856 73844608 122023712 147689216 156342881 244047424 312685762 488094848 625371524 976189696 1250743048 2501486096 5002972192 10005944384 20011888768 40023777536