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342001130201214 = 231137347449898889
BaseRepresentation
bin100110111000011000101011…
…1111000001110000001111110
31122211220222200210101121201220
41031300301113320032001332
5324311321303312414324
63211213052241414210
7132015523553562141
oct11560612770160176
91584828623347656
10342001130201214
1199a76957058270
123243613a63a366
13118aa75042a053
146064d2b922058
15298137a8a7b79
hex1370c57e0e07e

342001130201214 has 128 divisors (see below), whose sum is σ = 770272504128000. Its totient is φ = 100321078394880.

The previous prime is 342001130201089. The next prime is 342001130201347. The reversal of 342001130201214 is 412102031100243.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 380021482 + ... + 380920370.

It is an arithmetic number, because the mean of its divisors is an integer number (6017753938500).

Almost surely, 2342001130201214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342001130201214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385136252064000).

342001130201214 is an abundant number, since it is smaller than the sum of its proper divisors (428271373926786).

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

342001130201214 is a wasteful number, since it uses less digits than its factorization.

342001130201214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899738.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 342001130201214 its reverse (412102031100243), we get a palindrome (754103161301457).

The spelling of 342001130201214 in words is "three hundred forty-two trillion, one billion, one hundred thirty million, two hundred one thousand, two hundred fourteen".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 347 407 449 694 814 898 1041 1221 1347 2082 2442 2694 3817 4939 7634 9878 11451 12839 14817 16613 22902 25678 29634 33226 38517 49839 77034 99678 141229 155803 182743 282458 311606 365486 423687 467409 548229 847374 898889 934818 1096458 1713833 1797778 2696667 3427666 5141499 5393334 5764711 9887779 10282998 11529422 17294133 19775558 29663337 33258893 34588266 59326674 63411821 66517786 99776679 126823642 190235463 199553358 311914483 365847823 380470926 403601161 623828966 731695646 807202322 935743449 1097543469 1210803483 1871486898 2195086938 2421606966 3431059313 4439612771 6862118626 8879225542 10293177939 11540835871 13318838313 14933242957 20586355878 23081671742 26637676626 29866485914 34622507613 44799728871 69245015226 89599457742 126949194581 140049602867 164265672527 253898389162 280099205734 328531345054 380847583743 420148808601 492797017581 761695167486 840297617202 985594035162 1540545631537 3081091263074 4621636894611 5181835306079 9243273789222 10363670612158 15545505918237 31091011836474 57000188366869 114000376733738 171000565100607 342001130201214