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4331240431104 = 29337531437949
BaseRepresentation
bin111111000001110010000…
…011000001111000000000
3120100001200121000001122010
4333001302003001320000
51031430340022243404
613113424442012520
7624631114134516
oct77016203017000
916301617001563
104331240431104
11141a961343174
1259b50b7a7140
13255584c9b722
1410d8c15424b6
15779eb118189
hex3f0720c1e00

4331240431104 has 160 divisors (see below), whose sum is σ = 12074155552800. Its totient is φ = 1378221391872.

The previous prime is 4331240431099. The next prime is 4331240431139. The reversal of 4331240431104 is 4011340421334.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2293122 + ... + 3731070.

It is an arithmetic number, because the mean of its divisors is an integer number (75463472205).

Almost surely, 24331240431104 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 4331240431104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6037077776400).

4331240431104 is an abundant number, since it is smaller than the sum of its proper divisors (7742915121696).

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

4331240431104 is a wasteful number, since it uses less digits than its factorization.

4331240431104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438060 (or 1438044 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 4331240431104 its reverse (4011340421334), we get a palindrome (8342580852438).

The spelling of 4331240431104 in words is "four trillion, three hundred thirty-one billion, two hundred forty million, four hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 53 64 74 96 106 111 128 148 159 192 212 222 256 296 318 384 424 444 512 592 636 768 848 888 1184 1272 1536 1696 1776 1961 2368 2544 3392 3552 3922 4736 5088 5883 6784 7104 7844 9472 10176 11766 13568 14208 15688 18944 20352 23532 27136 28416 31376 40704 47064 56832 62752 81408 94128 125504 188256 251008 376512 502016 753024 1004032 1437949 1506048 2875898 3012096 4313847 5751796 8627694 11503592 17255388 23007184 34510776 46014368 53204113 69021552 76211297 92028736 106408226 138043104 152422594 159612339 184057472 212816452 228633891 276086208 304845188 319224678 368114944 425632904 457267782 552172416 609690376 638449356 736229888 851265808 914535564 1104344832 1219380752 1276898712 1702531616 1829071128 2208689664 2438761504 2553797424 2819817989 3405063232 3658142256 4877523008 5107594848 5639635978 6810126464 7316284512 8459453967 9755046016 10215189696 11279271956 13620252928 14632569024 16918907934 19510092032 20430379392 22558543912 27240505856 29265138048 33837815868 39020184064 40860758784 45117087824 58530276096 67675631736 81721517568 90234175648 117060552192 135351263472 180468351296 270702526944 360936702592 541405053888 721873405184 1082810107776 1443746810368 2165620215552 4331240431104