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149731258320 = 2433579902861
BaseRepresentation
bin1000101101110010101…
…1011010111111010000
3112022111000210000121000
42023130223122333100
54423122200231240
6152441404302000
713550323460550
oct2133453327720
9468430700530
10149731258320
1158556434596
1225028841900
13111729a7307
147365bd7160
153d651e7430
hex22dcadafd0

149731258320 has 160 divisors (see below), whose sum is σ = 589418346240. Its totient is φ = 34224284160.

The previous prime is 149731258297. The next prime is 149731258333. The reversal of 149731258320 is 23852137941.

It is a happy number.

149731258320 is a `hidden beast` number, since 1 + 4 + 9 + 7 + 312 + 5 + 8 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 4936311 + ... + 4966550.

It is an arithmetic number, because the mean of its divisors is an integer number (3683864664).

Almost surely, 2149731258320 is an apocalyptic number.

149731258320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149731258320 is an abundant number, since it is smaller than the sum of its proper divisors (439687087920).

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

149731258320 is a wasteful number, since it uses less digits than its factorization.

149731258320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9902890 (or 9902878 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 149731258320 in words is "one hundred forty-nine billion, seven hundred thirty-one million, two hundred fifty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 3024 3780 5040 7560 15120 9902861 19805722 29708583 39611444 49514305 59417166 69320027 79222888 89125749 99028610 118834332 138640054 148542915 158445776 178251498 198057220 207960081 237668664 267377247 277280108 297085830 346600135 356502996 396114440 415920162 445628745 475337328 534754494 554560216 594171660 623880243 693200270 713005992 792228880 831840324 891257490 1039800405 1069508988 1109120432 1188343320 1247760486 1336886235 1386400540 1426011984 1663680648 1782514980 1871640729 2079600810 2139017976 2376686640 2495520972 2673772470 2772801080 3119401215 3327361296 3565029960 3743281458 4159201620 4278035952 4991041944 5347544940 5545602160 6238802430 7130059920 7486562916 8318403240 9358203645 9982083888 10695089880 12477604860 14973125832 16636806480 18716407290 21390179760 24955209720 29946251664 37432814580 49910419440 74865629160 149731258320