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40500757504 = 2101923312
BaseRepresentation
bin100101101110000010…
…001000010000000000
310212112120022122122201
4211232002020100000
51130421143220004
630334503442544
72632434521134
oct455602102000
9125476278581
1040500757504
11161a3692619
127a23756454
133a85a4138c
141d62cbd3c4
1510c094e6a4
hex96e088400

40500757504 has 99 divisors (see below), whose sum is σ = 85706319951. Its totient is φ = 19126609920.

The previous prime is 40500757501. The next prime is 40500757529. The reversal of 40500757504 is 40575700504.

The square root of 40500757504 is 201248.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×405007575042 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40500757501) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 122358619 + ... + 122358949.

Almost surely, 240500757504 is an apocalyptic number.

40500757504 is the 201248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40500757504

40500757504 is an abundant number, since it is smaller than the sum of its proper divisors (45205562447).

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

40500757504 is an frugal number, since it uses more digits than its factorization.

40500757504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 98000, while the sum is 37.

The spelling of 40500757504 in words is "forty billion, five hundred million, seven hundred fifty-seven thousand, five hundred four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 331 361 512 608 662 722 1024 1216 1324 1444 2432 2648 2888 4864 5296 5776 6289 9728 10592 11552 12578 19456 21184 23104 25156 42368 46208 50312 84736 92416 100624 109561 119491 169472 184832 201248 219122 238982 338944 369664 402496 438244 477964 804992 876488 955928 1609984 1752976 1911856 2081659 3219968 3505952 3823712 4163318 6439936 7011904 7647424 8326636 14023808 15294848 16653272 28047616 30589696 33306544 39551521 56095232 61179392 66613088 79103042 112190464 122358784 133226176 158206084 266452352 316412168 532904704 632824336 1065809408 1265648672 2131618816 2531297344 5062594688 10125189376 20250378752 40500757504