Search a number
-
+
402283081152 = 2634174564759
BaseRepresentation
bin1011101101010011111…
…00001010110111000000
31102110100210120220120000
411312221330022313000
523042333432044102
6504450054320000
741030643525201
oct5665174126700
91373323526500
10402283081152
11145675348027
1265b6b959000
132bc2063b634
14156834a95a8
15a6e707701c
hex5da9f0adc0

402283081152 has 140 divisors (see below), whose sum is σ = 1262640004560. Its totient is φ = 126206429184.

The previous prime is 402283081139. The next prime is 402283081217. The reversal of 402283081152 is 251180382204.

It is a happy number.

402283081152 is a `hidden beast` number, since 402 + 28 + 3 + 0 + 81 + 152 = 666.

402283081152 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4022830811522 (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2194252 + ... + 2370507.

Almost surely, 2402283081152 is an apocalyptic number.

It is an amenable number.

402283081152 is an abundant number, since it is smaller than the sum of its proper divisors (860356923408).

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

402283081152 is a wasteful number, since it uses less digits than its factorization.

402283081152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4564800 (or 4564781 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 402283081152 in words is "four hundred two billion, two hundred eighty-three million, eighty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 136 144 153 162 192 204 216 272 288 306 324 408 432 459 544 576 612 648 816 864 918 1088 1224 1296 1377 1632 1728 1836 2448 2592 2754 3264 3672 4896 5184 5508 7344 9792 11016 14688 22032 29376 44064 88128 4564759 9129518 13694277 18259036 27388554 36518072 41082831 54777108 73036144 77600903 82165662 109554216 123248493 146072288 155201806 164331324 219108432 232802709 246496986 292144576 310403612 328662648 369745479 438216864 465605418 492993972 620807224 657325296 698408127 739490958 876433728 931210836 985987944 1241614448 1314650592 1396816254 1478981916 1862421672 1971975888 2095224381 2483228896 2629301184 2793632508 2957963832 3724843344 3943951776 4190448762 4966457792 5587265016 5915927664 6285673143 7449686688 7887903552 8380897524 11174530032 11831855328 12571346286 14899373376 16761795048 22349060064 23663710656 25142692572 33523590096 44698120128 50285385144 67047180192 100570770288 134094360384 201141540576 402283081152