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142965648 = 2436717103
BaseRepresentation
bin10001000010101…
…11101110010000
3100222000102000000
420201113232100
5243044400043
622104130000
73354121320
oct1041275620
9328012000
10142965648
1173778231
123ba66900
1323808177
1414db7280
15c8402d3
hex8857b90

142965648 has 280 divisors, whose sum is σ = 507431808. Its totient is φ = 38071296.

The previous prime is 142965637. The next prime is 142965653. The reversal of 142965648 is 846569241.

It is a super-3 number, since 3×1429656483 (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1387965 + ... + 1388067.

Almost surely, 2142965648 is an apocalyptic number.

142965648 is a gapful number since it is divisible by the number (18) 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 142965648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253715904).

142965648 is an abundant number, since it is smaller than the sum of its proper divisors (364466160).

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

142965648 is a wasteful number, since it uses less digits than its factorization.

142965648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 132 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 142965648 is about 11956.8243275545. The cubic root of 142965648 is about 522.8902762433.

The spelling of 142965648 in words is "one hundred forty-two million, nine hundred sixty-five thousand, six hundred forty-eight".