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142121484 = 223231347367
BaseRepresentation
bin10000111100010…
…01101000001100
3100220102112000200
420132021220030
5242340341414
622034053500
73344004231
oct1036115014
9326375020
10142121484
1173250a7a
123b71a290
13235a0b6b
1414c37788
15c725109
hex8789a0c

142121484 has 72 divisors (see below), whose sum is σ = 372922368. Its totient is φ = 45588960.

The previous prime is 142121459. The next prime is 142121491. The reversal of 142121484 is 484121241.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 387069 + ... + 387435.

Almost surely, 2142121484 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142121484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186461184).

142121484 is an abundant number, since it is smaller than the sum of its proper divisors (230800884).

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

142121484 is a wasteful number, since it uses less digits than its factorization.

142121484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 750 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 142121484 is about 11921.4715534618. The cubic root of 142121484 is about 521.8590802941.

The spelling of 142121484 in words is "one hundred forty-two million, one hundred twenty-one thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 347 367 372 558 694 734 1041 1101 1116 1388 1468 2082 2202 3123 3303 4164 4404 6246 6606 10757 11377 12492 13212 21514 22754 32271 34131 43028 45508 64542 68262 96813 102393 127349 129084 136524 193626 204786 254698 382047 387252 409572 509396 764094 1146141 1528188 2292282 3947819 4584564 7895638 11843457 15791276 23686914 35530371 47373828 71060742 142121484