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14132121356400 = 2435244417265141
BaseRepresentation
bin1100110110100110010000…
…0100101100100001110000
31212001000110211120021021220
43031221210010230201300
53323020041031401100
650020112410145040
72656004066350335
oct315514404544160
955030424507256
1014132121356400
11455944309a223
121702a96a22180
137b6865483248
1436bdd958298c
151979200e6aa0
hexcda6412c870

14132121356400 has 120 divisors (see below), whose sum is σ = 45271085356464. Its totient is φ = 3768466636800.

The previous prime is 14132121356393. The next prime is 14132121356411. The reversal of 14132121356400 is 465312123141.

It is a tau number, because it is divible by the number of its divisors (120).

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, 53167830 + ... + 53432970.

Almost surely, 214132121356400 is an apocalyptic number.

14132121356400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14132121356400 is an abundant number, since it is smaller than the sum of its proper divisors (31138964000064).

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

14132121356400 is a wasteful number, since it uses less digits than its factorization.

14132121356400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309579 (or 309568 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

Adding to 14132121356400 its reverse (465312123141), we get a palindrome (14597433479541).

The spelling of 14132121356400 in words is "fourteen trillion, one hundred thirty-two billion, one hundred twenty-one million, three hundred fifty-six thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 44417 88834 133251 177668 222085 265141 266502 355336 444170 530282 533004 666255 710672 795423 888340 1060564 1066008 1110425 1325705 1332510 1590846 1776680 2121128 2132016 2220850 2651410 2665020 3181692 3331275 3553360 3977115 4242256 4441700 5302820 5330040 6363384 6628525 6662550 7954230 8883400 10605640 10660080 12726768 13257050 13325100 15908460 17766800 19885575 21211280 26514100 26650200 31816920 39771150 53028200 53300400 63633840 79542300 106056400 159084600 318169200 11776767797 23553535594 35330303391 47107071188 58883838985 70660606782 94214142376 117767677970 141321213564 176651516955 188428284752 235535355940 282642427128 294419194925 353303033910 471070711880 565284854256 588838389850 706606067820 883257584775 942141423760 1177676779700 1413212135640 1766515169550 2355353559400 2826424271280 3533030339100 4710707118800 7066060678200 14132121356400