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112492211440 = 2457977692693
BaseRepresentation
bin110100011000100001…
…1101110110011110000
3101202100202221102202111
41220301003232303300
53320341001231230
6123402254255104
711061443010010
oct1506103566360
9352322842674
10112492211440
1143786a14494
12199754b7494
13a7b993022b
1456321a7c40
152dd5cd592a
hex1a310eecf0

112492211440 has 160 divisors (see below), whose sum is σ = 302494389120. Its totient is φ = 38107348992.

The previous prime is 112492211437. The next prime is 112492211497. The reversal of 112492211440 is 44112294211.

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, 41770734 + ... + 41773426.

It is an arithmetic number, because the mean of its divisors is an integer number (1890589932).

Almost surely, 2112492211440 is an apocalyptic number.

112492211440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112492211440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151247194560).

112492211440 is an abundant number, since it is smaller than the sum of its proper divisors (190002177680).

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

112492211440 is a wasteful number, since it uses less digits than its factorization.

112492211440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3579 (or 3573 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The spelling of 112492211440 in words is "one hundred twelve billion, four hundred ninety-two million, two hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 97 112 140 194 280 388 485 560 679 769 776 970 1358 1538 1552 1940 2693 2716 3076 3395 3845 3880 5383 5386 5432 6152 6790 7690 7760 10766 10772 10864 12304 13465 13580 15380 18851 21532 21544 26915 26930 27160 30760 37702 43064 43088 53830 53860 54320 61520 74593 75404 86128 94255 107660 107720 149186 150808 188510 215320 215440 261221 298372 301616 372965 377020 430640 522151 522442 596744 745930 754040 1044302 1044884 1193488 1306105 1491860 1508080 1828547 2070917 2088604 2089768 2610755 2612210 2983720 3657094 4141834 4177208 4179536 5221510 5224420 5967440 7314188 8283668 8354416 9142735 10354585 10443020 10448840 14496419 14628376 16567336 18285470 20709170 20886040 20897680 28992838 29256752 33134672 36570940 41418340 41772080 57985676 72482095 73141880 82836680 115971352 144964190 146283760 165673360 200878949 231942704 289928380 401757898 579856760 803515796 1004394745 1159713520 1406152643 1607031592 2008789490 2812305286 3214063184 4017578980 5624610572 7030763215 8035157960 11249221144 14061526430 16070315920 22498442288 28123052860 56246105720 112492211440