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145310515406334 = 232711076091056617
BaseRepresentation
bin100001000010100010111101…
…101001110010010111111110
3201001111112211122212200110100
4201002202331221302113332
5123021231413421000314
61233014421302221530
742415224014330115
oct4102427551622776
9631445748780410
10145310515406334
1142333930789463
121436a1997248a6
13631095200b395
1427c50d0580c7c
1511becd7637c09
hex8428bda725fe

145310515406334 has 48 divisors (see below), whose sum is σ = 319277077647840. Its totient is φ = 47754140501760.

The previous prime is 145310515406237. The next prime is 145310515406383. The reversal of 145310515406334 is 433604515013541.

145310515406334 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 1 + 0 + 5 + 1 + 5 + 4 + 0 + 633 + 4 = 666.

It is a super-2 number, since 2×1453105154063342 (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 145310515406334.

It is a congruent number.

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, 136995994 + ... + 138052610.

It is an arithmetic number, because the mean of its divisors is an integer number (6651605784330).

Almost surely, 2145310515406334 is an apocalyptic number.

145310515406334 is an abundant number, since it is smaller than the sum of its proper divisors (173966562241506).

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

145310515406334 is a wasteful number, since it uses less digits than its factorization.

145310515406334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164305 (or 1164302 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 145310515406334 in words is "one hundred forty-five trillion, three hundred ten billion, five hundred fifteen million, four hundred six thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 71 142 213 426 639 1278 107609 215218 322827 645654 968481 1056617 1936962 2113234 3169851 6339702 7640239 9509553 15280478 19019106 22920717 45841434 68762151 75019807 137524302 150039614 225059421 450118842 675178263 1350356526 113701498753 227402997506 341104496259 682208992518 1023313488777 2046626977554 8072806411463 16145612822926 24218419234389 48436838468778 72655257703167 145310515406334