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34401400140 = 22354154125849
BaseRepresentation
bin100000000010011110…
…111011010101001100
310021210111022012022010
4200002132323111030
51030423224301030
623445341221220
72325333035142
oct400236732514
9107714265263
1034401400140
111365376a108
126800b61810
1333231c8493
141944c09592
15d6523c6b0
hex8027bb54c

34401400140 has 96 divisors (see below), whose sum is σ = 98859499200. Its totient is φ = 8933068800.

The previous prime is 34401400109. The next prime is 34401400151. The reversal of 34401400140 is 4100410443.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1317936 + ... + 1343784.

It is an arithmetic number, because the mean of its divisors is an integer number (1029786450).

Almost surely, 234401400140 is an apocalyptic number.

34401400140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34401400140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49429749600).

34401400140 is an abundant number, since it is smaller than the sum of its proper divisors (64458099060).

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

34401400140 is a wasteful number, since it uses less digits than its factorization.

34401400140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26443 (or 26441 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 34401400140 its reverse (4100410443), we get a palindrome (38501810583).

The spelling of 34401400140 in words is "thirty-four billion, four hundred one million, four hundred thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 541 615 820 1082 1230 1623 2164 2460 2705 3246 5410 6492 8115 10820 16230 22181 25849 32460 44362 51698 66543 77547 88724 103396 110905 129245 133086 155094 221810 258490 266172 310188 332715 387735 443620 516980 665430 775470 1059809 1330860 1550940 2119618 3179427 4239236 5299045 6358854 10598090 12717708 13984309 15897135 21196180 27968618 31794270 41952927 55937236 63588540 69921545 83905854 139843090 167811708 209764635 279686180 419529270 573356669 839058540 1146713338 1720070007 2293426676 2866783345 3440140014 5733566690 6880280028 8600350035 11467133380 17200700070 34401400140