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142605633464 = 23719463289477
BaseRepresentation
bin1000010011001111110…
…1010100011110111000
3111122002102122202220022
42010303331110132320
54314024020232324
6145302341350012
713205620612220
oct2046375243670
9448072582808
10142605633464
115552a187128
122377a408308
13105a8658148
146c8b6d9080
153a9986605e
hex2133f547b8

142605633464 has 64 divisors (see below), whose sum is σ = 322362700800. Its totient is φ = 57774777984.

The previous prime is 142605633463. The next prime is 142605633523. The reversal of 142605633464 is 464336506241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142605633463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 347894 + ... + 637370.

It is an arithmetic number, because the mean of its divisors is an integer number (5036917200).

Almost surely, 2142605633464 is an apocalyptic number.

142605633464 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 142605633464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161181350400).

142605633464 is an abundant number, since it is smaller than the sum of its proper divisors (179757067336).

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

142605633464 is a wasteful number, since it uses less digits than its factorization.

142605633464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289972 (or 289968 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 44.

The spelling of 142605633464 in words is "one hundred forty-two billion, six hundred five million, six hundred thirty-three thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 463 532 926 1064 1852 3241 3704 6482 8797 12964 17594 25928 35188 61579 70376 123158 246316 289477 492632 578954 1157908 2026339 2315816 4052678 5500063 8105356 11000126 16210712 22000252 38500441 44000504 77000882 134027851 154001764 268055702 308003528 536111404 938194957 1072222808 1876389914 2546529169 3752779828 5093058338 7505559656 10186116676 17825704183 20372233352 35651408366 71302816732 142605633464