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145738049100 = 22352729914153
BaseRepresentation
bin1000011110111010101…
…0100010011001001100
3111221011201211222100020
42013232222202121030
54341432420032400
6150541240102140
713346344656300
oct2075652423114
9457151758306
10145738049100
1156897369386
12242b3464950
13109875c2817
1470a772dd00
153bce8642a0
hex21eeaa264c

145738049100 has 108 divisors (see below), whose sum is σ = 490512683304. Its totient is φ = 33311550720.

The previous prime is 145738049099. The next prime is 145738049117. The reversal of 145738049100 is 1940837541.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 4942377 + ... + 4971776.

Almost surely, 2145738049100 is an apocalyptic number.

145738049100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145738049100 is an abundant number, since it is smaller than the sum of its proper divisors (344774634204).

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

145738049100 is a wasteful number, since it uses less digits than its factorization.

145738049100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9914184 (or 9914170 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 145738049100 in words is "one hundred forty-five billion, seven hundred thirty-eight million, forty-nine thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 49 50 60 70 75 84 98 100 105 140 147 150 175 196 210 245 294 300 350 420 490 525 588 700 735 980 1050 1225 1470 2100 2450 2940 3675 4900 7350 14700 9914153 19828306 29742459 39656612 49570765 59484918 69399071 99141530 118969836 138798142 148712295 198283060 208197213 247853825 277596284 297424590 346995355 416394426 485793497 495707650 594849180 693990710 743561475 832788852 971586994 991415300 1040986065 1387981420 1457380491 1487122950 1734976775 1943173988 2081972130 2428967485 2914760982 2974245900 3469953550 4163944260 4857934970 5204930325 5829521964 6939907100 7286902455 9715869940 10409860650 12144837425 14573804910 20819721300 24289674850 29147609820 36434512275 48579349700 72869024550 145738049100