Search a number
-
+
238705265407280 = 24572411485224399
BaseRepresentation
bin110110010001100111100110…
…100011001111010100110000
31011022012000000101000000120012
4312101213212203033110300
5222241421340421013110
62203403403550034052
7101164613001046400
oct6621474643172460
91138160011000505
10238705265407280
116a07137531a6a1
122293281a4a8928
13a326a6b596309
1442d3579d82800
151c8e412266905
hexd919e68cf530

238705265407280 has 120 divisors (see below), whose sum is σ = 661346661729600. Its totient is φ = 79845663636480.

The previous prime is 238705265407243. The next prime is 238705265407421. The reversal of 238705265407280 is 82704562507832.

238705265407280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 742451480 + ... + 742772919.

It is an arithmetic number, because the mean of its divisors is an integer number (5511222181080).

Almost surely, 2238705265407280 is an apocalyptic number.

238705265407280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

238705265407280 is an abundant number, since it is smaller than the sum of its proper divisors (422641396322320).

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

238705265407280 is a wasteful number, since it uses less digits than its factorization.

238705265407280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485224467 (or 1485224454 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 59.

The spelling of 238705265407280 in words is "two hundred thirty-eight trillion, seven hundred five billion, two hundred sixty-five million, four hundred seven thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 41 49 56 70 80 82 98 112 140 164 196 205 245 280 287 328 392 410 490 560 574 656 784 820 980 1148 1435 1640 1960 2009 2296 2870 3280 3920 4018 4592 5740 8036 10045 11480 16072 20090 22960 32144 40180 80360 160720 1485224399 2970448798 5940897596 7426121995 10396570793 11881795192 14852243990 20793141586 23763590384 29704487980 41586283172 51982853965 59408975960 60894200359 72775995551 83172566344 103965707930 118817951920 121788400718 145551991102 166345132688 207931415860 243576801436 291103982204 304471001795 363879977755 415862831720 426259402513 487153602872 582207964408 608942003590 727759955510 831725663440 852518805026 974307205744 1164415928816 1217884007180 1455519911020 1705037610052 2131297012565 2435768014360 2911039822040 2983815817591 3410075220104 4262594025130 4871536028720 5822079644080 5967631635182 6820150440208 8525188050260 11935263270364 14919079087955 17050376100520 23870526540728 29838158175910 34100752201040 47741053081456 59676316351820 119352632703640 238705265407280