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2141243663376 = 243714243148079
BaseRepresentation
bin11111001010001100000…
…100010110010000010000
321120200220221201101010210
4133022030010112100100
5240040231334212001
64315401310524120
7310462004556066
oct37121404262020
97520827641123
102141243663376
117561072536a4
122a6ba2206640
13126bc299794c
14758cb336036
153aa72eb1dd6
hex1f28c116410

2141243663376 has 80 divisors (see below), whose sum is σ = 5610815170560. Its totient is φ = 703524501120.

The previous prime is 2141243663371. The next prime is 2141243663389. The reversal of 2141243663376 is 6733663421412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2141243663371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14386105 + ... + 14534183.

It is an arithmetic number, because the mean of its divisors is an integer number (70135189632).

Almost surely, 22141243663376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2141243663376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2805407585280).

2141243663376 is an abundant number, since it is smaller than the sum of its proper divisors (3469571507184).

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

2141243663376 is a wasteful number, since it uses less digits than its factorization.

2141243663376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152404 (or 152398 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 48.

The spelling of 2141243663376 in words is "two trillion, one hundred forty-one billion, two hundred forty-three million, six hundred sixty-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 284 426 568 852 1136 1704 3408 4243 8486 12729 16972 25458 33944 50916 67888 101832 148079 203664 296158 301253 444237 592316 602506 888474 903759 1184632 1205012 1776948 1807518 2369264 2410024 3553896 3615036 4820048 7107792 7230072 10513609 14460144 21027218 31540827 42054436 63081654 84108872 126163308 168217744 252326616 504653232 628299197 1256598394 1884897591 2513196788 3769795182 5026393576 7539590364 10052787152 15079180728 30158361456 44609242987 89218485974 133827728961 178436971948 267655457922 356873943896 535310915844 713747887792 1070621831688 2141243663376