Search a number
-
+
42151702104 = 2334374573847
BaseRepresentation
bin100111010000011011…
…111110111001011000
311000210121212022220000
4213100123332321120
51142311313431404
631210401133000
73021362361531
oct472033767130
9130717768800
1042151702104
111697059a746
12820462a160
133c89aa3485
14207c275688
15116a863339
hex9d06fee58

42151702104 has 160 divisors (see below), whose sum is σ = 121551624480. Its totient is φ = 13637362176.

The previous prime is 42151702097. The next prime is 42151702127. The reversal of 42151702104 is 40120715124.

42151702104 is a `hidden beast` number, since 42 + 1 + 517 + 0 + 2 + 104 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10955109 + ... + 10958955.

It is an arithmetic number, because the mean of its divisors is an integer number (759697653).

Almost surely, 242151702104 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 42151702104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60775812240).

42151702104 is an abundant number, since it is smaller than the sum of its proper divisors (79399922376).

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

42151702104 is a wasteful number, since it uses less digits than its factorization.

42151702104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4359 (or 4346 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 42151702104 in words is "forty-two billion, one hundred fifty-one million, seven hundred two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 108 111 148 162 216 222 296 324 333 444 457 648 666 888 914 999 1332 1371 1828 1998 2664 2742 2997 3656 3847 3996 4113 5484 5994 7694 7992 8226 10968 11541 11988 12339 15388 16452 16909 23082 23976 24678 30776 32904 33818 34623 37017 46164 49356 50727 67636 69246 74034 92328 98712 101454 103869 135272 138492 142339 148068 152181 202908 207738 276984 284678 296136 304362 311607 405816 415476 427017 456543 569356 608724 623214 830952 854034 913086 1138712 1217448 1246428 1281051 1369629 1708068 1758079 1826172 2492856 2562102 2739258 3416136 3516158 3652344 3843153 5124204 5274237 5478516 7032316 7686306 10248408 10548474 10957032 11529459 14064632 15372612 15822711 21096948 23058918 30745224 31645422 42193896 46117836 47468133 63290844 65048923 92235672 94936266 126581688 130097846 142404399 189872532 195146769 260195692 284808798 379745064 390293538 520391384 569617596 585440307 780587076 1139235192 1170880614 1561174152 1756320921 2341761228 3512641842 4683522456 5268962763 7025283684 10537925526 14050567368 21075851052 42151702104