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145700381700 = 2232521271274719
BaseRepresentation
bin1000011110110001101…
…0110110010000000100
3111221002002222021101100
42013230122312100010
54341343244203300
6150533412500100
713345406544636
oct2075432662004
9457062867340
10145700381700
11568780812a5
12242a291a630
131097c864913
1470a2726a56
153bcb3c3700
hex21ec6b6404

145700381700 has 108 divisors (see below), whose sum is σ = 460286095360. Its totient is φ = 38547472320.

The previous prime is 145700381699. The next prime is 145700381711. The reversal of 145700381700 is 7183007541.

145700381700 is a `hidden beast` number, since 1 + 4 + 570 + 0 + 3 + 81 + 7 + 0 + 0 = 666.

145700381700 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 523060 + ... + 751659.

Almost surely, 2145700381700 is an apocalyptic number.

145700381700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145700381700 is an abundant number, since it is smaller than the sum of its proper divisors (314585713660).

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

145700381700 is a wasteful number, since it uses less digits than its factorization.

145700381700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274866 (or 1274856 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 145700381700 in words is "one hundred forty-five billion, seven hundred million, three hundred eighty-one thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 127 150 180 225 254 300 381 450 508 635 762 900 1143 1270 1524 1905 2286 2540 3175 3810 4572 5715 6350 7620 9525 11430 12700 19050 22860 28575 38100 57150 114300 1274719 2549438 3824157 5098876 6373595 7648314 11472471 12747190 15296628 19120785 22944942 25494380 31867975 38241570 45889884 57362355 63735950 76483140 95603925 114724710 127471900 161889313 191207850 229449420 286811775 323778626 382415700 485667939 573623550 647557252 809446565 971335878 1147247100 1457003817 1618893130 1942671756 2428339695 2914007634 3237786260 4047232825 4856679390 5828015268 7285019085 8094465650 9713358780 12141698475 14570038170 16188931300 24283396950 29140076340 36425095425 48566793900 72850190850 145700381700