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142403252760 = 2332519101920431
BaseRepresentation
bin1000010010011111100…
…1010011001000011000
3111121120022211202202200
42010213321103020120
54313120213042020
6145230311530200
713200612451056
oct2044771231030
9447508752680
10142403252760
1155435a1854a
1223722689960
1310575749352
146c6c8971d6
153a86bdb590
hex2127e53218

142403252760 has 192 divisors, whose sum is σ = 487670976000. Its totient is φ = 35938494720.

The previous prime is 142403252743. The next prime is 142403252777. The reversal of 142403252760 is 67252304241.

142403252760 is a `hidden beast` number, since 1 + 4 + 2 + 40 + 32 + 527 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (142403252743) and next prime (142403252777).

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 47 ways as a sum of consecutive naturals, for example, 6959745 + ... + 6980175.

It is an arithmetic number, because the mean of its divisors is an integer number (2539953000).

Almost surely, 2142403252760 is an apocalyptic number.

142403252760 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 142403252760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243835488000).

142403252760 is an abundant number, since it is smaller than the sum of its proper divisors (345267723240).

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

142403252760 is a wasteful number, since it uses less digits than its factorization.

142403252760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21486 (or 21479 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 142403252760 in words is "one hundred forty-two billion, four hundred three million, two hundred fifty-two thousand, seven hundred sixty".