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34125401050 = 2521324578837
BaseRepresentation
bin11111110010000010…
…000100101111011010
310021002020221222201121
4133302002010233122
51024342100313200
623402121435454
72315442060106
oct376202045732
9107066858647
1034125401050
1113521998994
12674463bb8a
1332aac81c00
14191a2c2906
15d4adbee1a
hex7f2084bda

34125401050 has 72 divisors (see below), whose sum is σ = 68889576276. Its totient is φ = 12571153920.

The previous prime is 34125401039. The next prime is 34125401077. The reversal of 34125401050 is 5010452143.

It is a happy number.

It can be written as a sum of positive squares in 18 ways, for example, as 99540529 + 34025860521 = 9977^2 + 184461^2 .

It is a super-2 number, since 2×341254010502 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3857232 + ... + 3866068.

Almost surely, 234125401050 is an apocalyptic number.

34125401050 is an abundant number, since it is smaller than the sum of its proper divisors (34764175226).

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

34125401050 is a wasteful number, since it uses less digits than its factorization.

34125401050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9332 (or 9314 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 34125401050 its reverse (5010452143), we get a palindrome (39135853193).

The spelling of 34125401050 in words is "thirty-four billion, one hundred twenty-five million, four hundred one thousand, fifty".

Divisors: 1 2 5 10 13 25 26 50 65 130 169 325 338 457 650 845 914 1690 2285 4225 4570 5941 8450 8837 11425 11882 17674 22850 29705 44185 59410 77233 88370 114881 148525 154466 220925 229762 297050 386165 441850 574405 772330 1148810 1493453 1930825 2872025 2986906 3861650 4038509 5744050 7467265 8077018 14934530 20192545 37336325 40385090 52500617 74672650 100962725 105001234 201925450 262503085 525006170 682508021 1312515425 1365016042 2625030850 3412540105 6825080210 17062700525 34125401050