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141320400144 = 24371138399833
BaseRepresentation
bin1000001110011101011…
…0100010110100010000
3111111202212021011020020
42003213112202310100
54303411010301034
6144531030343440
713132023403260
oct2034726426420
9444685234206
10141320400144
1154a2a755330
122347babab80
13104322c0561
146ba8b3d7a0
153a21ae1249
hex20e75a2d10

141320400144 has 160 divisors (see below), whose sum is σ = 456354791424. Its totient is φ = 36610391040.

The previous prime is 141320400127. The next prime is 141320400191. The reversal of 141320400144 is 441004023141.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1365652 + ... + 1465484.

Almost surely, 2141320400144 is an apocalyptic number.

141320400144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141320400144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228177395712).

141320400144 is an abundant number, since it is smaller than the sum of its proper divisors (315034391280).

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

141320400144 is a wasteful number, since it uses less digits than its factorization.

141320400144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100245 (or 100239 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 141320400144 its reverse (441004023141), we get a palindrome (582324423285).

The spelling of 141320400144 in words is "one hundred forty-one billion, three hundred twenty million, four hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 383 462 528 616 766 924 1149 1232 1532 1848 2298 2681 3064 3696 4213 4596 5362 6128 8043 8426 9192 10724 12639 16086 16852 18384 21448 25278 29491 32172 33704 42896 50556 58982 64344 67408 88473 99833 101112 117964 128688 176946 199666 202224 235928 299499 353892 399332 471856 598998 698831 707784 798664 1098163 1197996 1397662 1415568 1597328 2096493 2196326 2395992 2795324 3294489 4192986 4392652 4791984 5590648 6588978 7687141 8385972 8785304 11181296 13177956 15374282 16771944 17570608 23061423 26355912 30748564 33543888 38236039 46122846 52711824 61497128 76472078 92245692 114708117 122994256 152944156 184491384 229416234 267652273 305888312 368982768 420596429 458832468 535304546 611776624 802956819 841192858 917664936 1070609092 1261789287 1605913638 1682385716 1835329872 2141218184 2523578574 2944175003 3211827276 3364771432 4282436368 5047157148 5888350006 6423654552 6729542864 8832525009 10094314296 11776700012 12847309104 17665050018 20188628592 23553400024 35330100036 47106800048 70660200072 141320400144