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1140254555220 = 22325111793217241
BaseRepresentation
bin10000100101111100011…
…101111011110001010100
311001000012022010001100100
4100211330131323301110
5122140220131231340
62231454204214100
7145244366541564
oct20457435736124
94030168101310
101140254555220
113aa640a74150
12164ba4b3a330
13836aa806711
143d28d7b8da4
151e9d99bb830
hex1097c77bc54

1140254555220 has 144 divisors (see below), whose sum is σ = 3794286525120. Its totient is φ = 274880985600.

The previous prime is 1140254555201. The next prime is 1140254555221. The reversal of 1140254555220 is 225554520411.

1140254555220 is a `hidden beast` number, since 1 + 1 + 40 + 2 + 5 + 45 + 552 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140254555221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1254201 + ... + 1963040.

It is an arithmetic number, because the mean of its divisors is an integer number (26349211980).

Almost surely, 21140254555220 is an apocalyptic number.

1140254555220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1140254555220 is an abundant number, since it is smaller than the sum of its proper divisors (2654031969900).

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

1140254555220 is a wasteful number, since it uses less digits than its factorization.

1140254555220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3217446 (or 3217441 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The spelling of 1140254555220 in words is "one trillion, one hundred forty billion, two hundred fifty-four million, five hundred fifty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 179 180 198 220 330 358 396 495 537 660 716 895 990 1074 1611 1790 1969 1980 2148 2685 3222 3580 3938 5370 5907 6444 7876 8055 9845 10740 11814 16110 17721 19690 23628 29535 32220 35442 39380 59070 70884 88605 118140 177210 354420 3217241 6434482 9651723 12868964 16086205 19303446 28955169 32172410 35389651 38606892 48258615 57910338 64344820 70779302 96517230 106168953 115820676 141558604 144775845 176948255 193034460 212337906 289551690 318506859 353896510 424675812 530844765 575886139 579103380 637013718 707793020 1061689530 1151772278 1274027436 1592534295 1727658417 2123379060 2303544556 2879430695 3185068590 3455316834 5182975251 5758861390 6334747529 6370137180 6910633668 8638292085 10365950502 11517722780 12669495058 17276584170 19004242587 20731901004 25338990116 25914876255 31673737645 34553168340 38008485174 51829752510 57012727761 63347475290 76016970348 95021212935 103659505020 114025455522 126694950580 190042425870 228050911044 285063638805 380084851740 570127277610 1140254555220