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142154220613320 = 23325419631044757
BaseRepresentation
bin100000010100100111011011…
…110100101010111011001000
3200122022210220001101021110200
4200110213123310222323020
5122113023320434111240
61222200425235012200
741641206051261366
oct4024473364527310
9618283801337420
10142154220613320
11413272a2646463
1213b3a534a3a060
136142115a69546
14271642dcac636
151167b5689a930
hex8149dbd2aec8

142154220613320 has 96 divisors (see below), whose sum is σ = 473269539408120. Its totient is φ = 36983211863040.

The previous prime is 142154220613241. The next prime is 142154220613373. The reversal of 142154220613320 is 23316022451241.

It is a happy number.

142154220613320 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 5 + 4 + 2 + 2 + 0 + 613 + 32 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 93614100491844 + 48540120121476 = 9675438^2 + 6967074^2 .

It is a super-2 number, since 2×1421542206133202 (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4815507619 + ... + 4815537138.

Almost surely, 2142154220613320 is an apocalyptic number.

142154220613320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142154220613320 is an abundant number, since it is smaller than the sum of its proper divisors (331115318794800).

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

142154220613320 is a wasteful number, since it uses less digits than its factorization.

142154220613320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9631044815 (or 9631044808 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 142154220613320 in words is "one hundred forty-two trillion, one hundred fifty-four billion, two hundred twenty million, six hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 41 45 60 72 82 90 120 123 164 180 205 246 328 360 369 410 492 615 738 820 984 1230 1476 1640 1845 2460 2952 3690 4920 7380 14760 9631044757 19262089514 28893134271 38524179028 48155223785 57786268542 77048358056 86679402813 96310447570 115572537084 144465671355 173358805626 192620895140 231145074168 288931342710 346717611252 385241790280 394872835037 433397014065 577862685420 693435222504 789745670074 866794028130 1155725370840 1184618505111 1579491340148 1733588056260 1974364175185 2369237010222 3158982680296 3467176112520 3553855515333 3948728350370 4738474020444 5923092525555 7107711030666 7897456700740 9476948040888 11846185051110 14215422061332 15794913401480 17769277576665 23692370102220 28430844122664 35538555153330 47384740204440 71077110306660 142154220613320