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149418728100 = 223252628726407
BaseRepresentation
bin1000101100101000001…
…1001101101010100100
3112021200020200211201200
42023022003031222210
54422002143244400
6152350401522500
713536510142665
oct2131203155244
9467606624650
10149418728100
1158405a81a54
1224b60043430
13111230100a5
1473364c136c
153d47a60b00
hex22ca0cdaa4

149418728100 has 108 divisors (see below), whose sum is σ = 468436934784. Its totient is φ = 39837147840.

The previous prime is 149418728087. The next prime is 149418728113. The reversal of 149418728100 is 1827814941.

149418728100 is a `hidden beast` number, since 1 + 494 + 1 + 87 + 2 + 81 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (149418728087) and next prime (149418728113).

It is a super-2 number, since 2×1494187281002 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5645097 + ... + 5671503.

Almost surely, 2149418728100 is an apocalyptic number.

149418728100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149418728100 is an abundant number, since it is smaller than the sum of its proper divisors (319018206684).

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

149418728100 is a wasteful number, since it uses less digits than its factorization.

149418728100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32714 (or 32704 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 149418728100 in words is "one hundred forty-nine billion, four hundred eighteen million, seven hundred twenty-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 6287 12574 18861 25148 26407 31435 37722 52814 56583 62870 75444 79221 94305 105628 113166 125740 132035 157175 158442 188610 226332 237663 264070 282915 314350 316884 377220 396105 471525 475326 528140 565830 628700 660175 792210 943050 950652 1131660 1188315 1320350 1414575 1584420 1886100 1980525 2376630 2640700 2829150 3961050 4753260 5658300 5941575 7922100 11883150 23766300 166020809 332041618 498062427 664083236 830104045 996124854 1494187281 1660208090 1992249708 2490312135 2988374562 3320416180 4150520225 4980624270 5976749124 7470936405 8301040450 9961248540 12451560675 14941872810 16602080900 24903121350 29883745620 37354682025 49806242700 74709364050 149418728100