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202314141413202 = 237131919502037923
BaseRepresentation
bin101110000000000011101110…
…100010000010111101010010
3222112100001011100222011022010
4232000003232202002331102
5203004203330200210302
61554141500011123350
760420500011631160
oct5600035642027522
9875301140864263
10202314141413202
1159510a44566485
121a835a04743556
1388b71ac344370
1437d60b17c0230
15185c9c5e9416c
hexb800ee882f52

202314141413202 has 64 divisors (see below), whose sum is σ = 524214779397120. Its totient is φ = 50549282293824.

The previous prime is 202314141413191. The next prime is 202314141413227.

It is a happy number.

202314141413202 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2023141414132022 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 202314141413202.

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, 9751008588 + ... + 9751029335.

It is an arithmetic number, because the mean of its divisors is an integer number (8190855928080).

Almost surely, 2202314141413202 is an apocalyptic number.

202314141413202 is an abundant number, since it is smaller than the sum of its proper divisors (321900637983918).

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

202314141413202 is a wasteful number, since it uses less digits than its factorization.

202314141413202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19502037967.

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 202314141413202 in words is "two hundred two trillion, three hundred fourteen billion, one hundred forty-one million, four hundred thirteen thousand, two hundred two".

Divisors: 1 2 3 6 7 13 14 19 21 26 38 39 42 57 78 91 114 133 182 247 266 273 399 494 546 741 798 1482 1729 3458 5187 10374 19502037923 39004075846 58506113769 117012227538 136514265461 253526492999 273028530922 370538720537 409542796383 507052985998 741077441074 760579478997 819085592766 1111616161611 1521158957994 1774685450993 2223232323222 2593771043759 3549370901986 4817003366981 5187542087518 5324056352979 7781313131277 9634006733962 10648112705958 14451010100943 15562626262554 28902020201886 33719023568867 67438047137734 101157070706601 202314141413202