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141132404125200 = 24352211557394961
BaseRepresentation
bin100000000101101111110010…
…110100000110111000010000
3200111201010101220101102111010
4200011233302310012320100
5121444303130424001300
61220055155325250520
741504323353366615
oct4005576264067020
9614633356342433
10141132404125200
1140a72a098a60a4
12139b44a4703a40
136099961982247
1426bcbb821450c
15114b29eba4a50
hex805bf2d06e10

141132404125200 has 120 divisors (see below), whose sum is σ = 454236761592736. Its totient is φ = 37456941312000.

The previous prime is 141132404125199. The next prime is 141132404125211. The reversal of 141132404125200 is 2521404231141.

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

It is a super-3 number, since 3×1411324041252003 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 278444281 + ... + 278950680.

Almost surely, 2141132404125200 is an apocalyptic number.

141132404125200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141132404125200 is an abundant number, since it is smaller than the sum of its proper divisors (313104357467536).

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

141132404125200 is a wasteful number, since it uses less digits than its factorization.

141132404125200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557395193 (or 557395182 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 141132404125200 its reverse (2521404231141), we get a palindrome (143653808356341).

The spelling of 141132404125200 in words is "one hundred forty-one trillion, one hundred thirty-two billion, four hundred four million, one hundred twenty-five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 211 240 300 400 422 600 633 844 1055 1200 1266 1688 2110 2532 3165 3376 4220 5064 5275 6330 8440 10128 10550 12660 15825 16880 21100 25320 31650 42200 50640 63300 84400 126600 253200 557394961 1114789922 1672184883 2229579844 2786974805 3344369766 4459159688 5573949610 6688739532 8360924415 8918319376 11147899220 13377479064 13934874025 16721848830 22295798440 26754958128 27869748050 33443697660 41804622075 44591596880 55739496100 66887395320 83609244150 111478992200 117610336771 133774790640 167218488300 222957984400 235220673542 334436976600 352831010313 470441347084 588051683855 668873953200 705662020626 940882694168 1176103367710 1411324041252 1764155051565 1881765388336 2352206735420 2822648082504 2940258419275 3528310103130 4704413470840 5645296165008 5880516838550 7056620206260 8820775257825 9408826941680 11761033677100 14113240412520 17641550515650 23522067354200 28226480825040 35283101031300 47044134708400 70566202062600 141132404125200