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142184405913984 = 27327269201732497
BaseRepresentation
bin100000010101000011100011…
…000000011101000110000000
3200122102200210201100102120100
4200111003203000131012000
5122114022130403221414
61222222340410442400
741643325061143410
oct4025034300350600
9618380721312510
10142184405913984
1141339082442635
1213b44359a33400
136144c166400b5
142717a94b90640
1511688218c8609
hex8150e301d180

142184405913984 has 384 divisors, whose sum is σ = 469585934625600. Its totient is φ = 40451786145792.

The previous prime is 142184405913961. The next prime is 142184405914007. The reversal of 142184405913984 is 489319504481241.

142184405913984 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 8 + 4 + 4 + 0 + 591 + 39 + 8 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (142184405913961) and next prime (142184405914007).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1421844059139842 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4375292424 + ... + 4375324920.

Almost surely, 2142184405913984 is an apocalyptic number.

142184405913984 is a gapful number since it is divisible by the number (14) 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 142184405913984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234792967312800).

142184405913984 is an abundant number, since it is smaller than the sum of its proper divisors (327401528711616).

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

142184405913984 is a wasteful number, since it uses less digits than its factorization.

142184405913984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34810 (or 34795 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 142184405913984 in words is "one hundred forty-two trillion, one hundred eighty-four billion, four hundred five million, nine hundred thirteen thousand, nine hundred eighty-four".