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42501751400 = 2352994121377
BaseRepresentation
bin100111100101010011…
…010100001001101000
311001201000112200020202
4213211103110021220
51144020422021100
631305224011332
73033142632443
oct474523241150
9131630480222
1042501751400
1117030148989
1282a1900b48
134014475c34
1420b295665a
15118b45b7d5
hex9e54d4268

42501751400 has 48 divisors (see below), whose sum is σ = 98831135340. Its totient is φ = 16998195200.

The previous prime is 42501751399. The next prime is 42501751423. The reversal of 42501751400 is 415710524.

It can be written as a sum of positive squares in 6 ways, for example, as 630436 + 42501120964 = 794^2 + 206158^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1977512 + ... + 1998888.

Almost surely, 242501751400 is an apocalyptic number.

42501751400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42501751400 is an abundant number, since it is smaller than the sum of its proper divisors (56329383940).

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

42501751400 is a wasteful number, since it uses less digits than its factorization.

42501751400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31334 (or 31325 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 29.

The spelling of 42501751400 in words is "forty-two billion, five hundred one million, seven hundred fifty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 9941 19882 21377 39764 42754 49705 79528 85508 99410 106885 171016 198820 213770 248525 397640 427540 497050 534425 855080 994100 1068850 1988200 2137700 4275400 212508757 425017514 850035028 1062543785 1700070056 2125087570 4250175140 5312718925 8500350280 10625437850 21250875700 42501751400