Search a number
-
+
413141301240140 = 2251121684571013431
BaseRepresentation
bin101110111101111111111010…
…0100000001010000101001100
32000011210220220121222101001202
41131323333310200022011030
5413122401341104141030
64022402254343325032
7153010321404300254
oct13573776440120514
92004726817871052
10413141301240140
1110a704272a84500
123a405675a50778
131496b099548725
147404207a22964
1532b6b4786e745
hex177bff480a14c

413141301240140 has 72 divisors (see below), whose sum is σ = 953645985803616. Its totient is φ = 150232160390400.

The previous prime is 413141301240139. The next prime is 413141301240203. The reversal of 413141301240140 is 41042103141314.

It is a happy number.

It is a super-2 number, since 2×4131413012401402 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 407159225 + ... + 408172655.

Almost surely, 2413141301240140 is an apocalyptic number.

It is an amenable number.

413141301240140 is an abundant number, since it is smaller than the sum of its proper divisors (540504684563476).

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

413141301240140 is a wasteful number, since it uses less digits than its factorization.

413141301240140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181919 (or 1181906 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 413141301240140 its reverse (41042103141314), we get a palindrome (454183404381454).

The spelling of 413141301240140 in words is "four hundred thirteen trillion, one hundred forty-one billion, three hundred one million, two hundred forty thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 168457 336914 673828 842285 1013431 1684570 1853027 2026862 3369140 3706054 4053724 5067155 7412108 9265135 10134310 11147741 18530270 20268620 20383297 22295482 37060540 40766594 44590964 55738705 81533188 101916485 111477410 122625151 203832970 222954820 245250302 407665940 490500604 613125755 1226251510 2452503020 170719545967 341439091934 682878183868 853597729835 1707195459670 1877915005637 3414390919340 3755830011274 7511660022548 9389575028185 18779150056370 20657065062007 37558300112740 41314130124014 82628260248028 103285325310035 206570650620070 413141301240140