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142872473376 = 2534103535151
BaseRepresentation
bin1000010100001111011…
…1001110111100100000
3111122210000202122110000
42011003313032330200
54320100323122001
6145345032540000
713215340662153
oct2050367167440
9448700678400
10142872473376
1155656871986
1223833851600
131061ba15799
146cb4d19c9a
153ab2ec4a86
hex2143dcef20

142872473376 has 120 divisors (see below), whose sum is σ = 424264224384. Its totient is φ = 47161699200.

The previous prime is 142872473371. The next prime is 142872473407. The reversal of 142872473376 is 673374278241.

142872473376 is a `hidden beast` number, since 1 + 4 + 28 + 7 + 247 + 3 + 376 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (142872473371) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 600 + ... + 534551.

Almost surely, 2142872473376 is an apocalyptic number.

142872473376 is a gapful number since it is divisible by the number (16) 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 142872473376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212132112192).

142872473376 is an abundant number, since it is smaller than the sum of its proper divisors (281391751008).

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

142872473376 is a wasteful number, since it uses less digits than its factorization.

142872473376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535276 (or 535259 counting only the distinct ones).

The product of its digits is 9483264, while the sum is 54.

The spelling of 142872473376 in words is "one hundred forty-two billion, eight hundred seventy-two million, four hundred seventy-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 103 108 144 162 206 216 288 309 324 412 432 618 648 824 864 927 1236 1296 1648 1854 2472 2592 2781 3296 3708 4944 5562 7416 8343 9888 11124 14832 16686 22248 29664 33372 44496 66744 88992 133488 266976 535151 1070302 1605453 2140604 3210906 4281208 4816359 6421812 8562416 9632718 12843624 14449077 17124832 19265436 25687248 28898154 38530872 43347231 51374496 55120553 57796308 77061744 86694462 110241106 115592616 154123488 165361659 173388924 220482212 231185232 330723318 346777848 440964424 462370464 496084977 661446636 693555696 881928848 992169954 1322893272 1387111392 1488254931 1763857696 1984339908 2645786544 2976509862 3968679816 4464764793 5291573088 5953019724 7937359632 8929529586 11906039448 15874719264 17859059172 23812078896 35718118344 47624157792 71436236688 142872473376