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42830704945032 = 23337167317911101
BaseRepresentation
bin10011011110100010011001…
…11101000010011110001000
312121122120112110200102102120
421233101030331002132020
521103214240431220112
6231032053151131240
712010262540061024
oct1157211475023610
9177576473612376
1042830704945032
1112713444390284
124978a64513b20
131ab8bc2221714
14a810351dd384
154e41d1962e8c
hex26f44cf42788

42830704945032 has 128 divisors (see below), whose sum is σ = 110978346205440. Its totient is φ = 13764286540800.

The previous prime is 42830704945001. The next prime is 42830704945079. The reversal of 42830704945032 is 23054940703824.

It is a happy number.

It is a super-3 number, since 3×428307049450323 (a number of 42 digits) contains 333 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, 46554282 + ... + 47465382.

It is an arithmetic number, because the mean of its divisors is an integer number (867018329730).

Almost surely, 242830704945032 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 42830704945032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55489173102720).

42830704945032 is an abundant number, since it is smaller than the sum of its proper divisors (68147641260408).

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

42830704945032 is a wasteful number, since it uses less digits than its factorization.

42830704945032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911631 (or 911627 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 51.

The spelling of 42830704945032 in words is "forty-two trillion, eight hundred thirty billion, seven hundred four million, nine hundred forty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 167 222 296 317 334 444 501 634 668 888 951 1002 1268 1336 1902 2004 2536 3804 4008 6179 7608 11729 12358 18537 23458 24716 35187 37074 46916 49432 52939 70374 74148 93832 105878 140748 148296 158817 211756 281496 317634 423512 635268 911101 1270536 1822202 1958743 2733303 3644404 3917486 5466606 5876229 7288808 7834972 10933212 11752458 15669944 21866424 23504916 33710737 47009832 67421474 101132211 134842948 152153867 202264422 269685896 288819017 304307734 404528844 456461601 577638034 608615468 809057688 866457051 912923202 1155276068 1217230936 1732914102 1825846404 2310552136 3465828204 3651692808 5629693079 6931656408 10686303629 11259386158 16889079237 21372607258 22518772316 32058910887 33778158474 42745214516 45037544632 48232775839 64117821774 67556316948 85490429032 96465551678 128235643548 135112633896 144698327517 192931103356 256471287096 289396655034 385862206712 578793310068 1157586620136 1784612706043 3569225412086 5353838118129 7138450824172 10707676236258 14276901648344 21415352472516 42830704945032