Search a number
-
+
601424300136 = 2331117199673403
BaseRepresentation
bin10001100000001111010…
…11101000100001101000
32010111101021220222222010
420300013223220201220
534323204110101021
61140142425555520
761310566126362
oct10600753504150
92114337828863
10601424300136
1121207637a350
1298687945ba0
1344938a6675a
14211754bdd32
151099ee12976
hex8c07ae8868

601424300136 has 128 divisors (see below), whose sum is σ = 1745463168000. Its totient is φ = 170667002880.

The previous prime is 601424300083. The next prime is 601424300167. The reversal of 601424300136 is 631003424106.

It is a super-2 number, since 2×6014243001362 (a number of 24 digits) contains 22 as substring.

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, 556411 + ... + 1229813.

It is an arithmetic number, because the mean of its divisors is an integer number (13636431000).

Almost surely, 2601424300136 is an apocalyptic number.

601424300136 is a gapful number since it is divisible by the number (66) 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 601424300136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872731584000).

601424300136 is an abundant number, since it is smaller than the sum of its proper divisors (1144038867864).

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

601424300136 is a wasteful number, since it uses less digits than its factorization.

601424300136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673639 (or 673635 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 601424300136 in words is "six hundred one billion, four hundred twenty-four million, three hundred thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 199 204 264 374 398 408 561 597 748 796 1122 1194 1496 1592 2189 2244 2388 3383 4378 4488 4776 6567 6766 8756 10149 13134 13532 17512 20298 26268 27064 37213 40596 52536 74426 81192 111639 148852 223278 297704 446556 673403 893112 1346806 2020209 2693612 4040418 5387224 7407433 8080836 11447851 14814866 16161672 22222299 22895702 29629732 34343553 44444598 45791404 59259464 68687106 88889196 91582808 125926361 134007197 137374212 177778392 251852722 268014394 274748424 377779083 402021591 503705444 536028788 755558166 804043182 1007410888 1072057576 1474079167 1511116332 1608086364 2278122349 2948158334 3022232664 3216172728 4422237501 4556244698 5896316668 6834367047 8844475002 9112489396 11792633336 13668734094 17688950004 18224978792 25059345839 27337468188 35377900008 50118691678 54674936376 75178037517 100237383356 150356075034 200474766712 300712150068 601424300136