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142532176704 = 2633730236637
BaseRepresentation
bin1000010010111110010…
…1000110101101000000
3111121220022102210011120
42010233211012231000
54313401214123304
6145251155112240
713204036340451
oct2045745065500
9447808383146
10142532176704
11554a1774a65
12237598a2680
13105963790c8
146c81a57128
153a931a60d9
hex212f946b40

142532176704 has 112 divisors (see below), whose sum is σ = 387495214848. Its totient is φ = 46204397568.

The previous prime is 142532176691. The next prime is 142532176739. The reversal of 142532176704 is 407671235241.

It is a super-3 number, since 3×1425321767043 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21472074 + ... + 21478710.

It is an arithmetic number, because the mean of its divisors is an integer number (3459778704).

Almost surely, 2142532176704 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 142532176704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193747607424).

142532176704 is an abundant number, since it is smaller than the sum of its proper divisors (244963038144).

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

142532176704 is a wasteful number, since it uses less digits than its factorization.

142532176704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9712 (or 9702 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 142532176704 in words is "one hundred forty-two billion, five hundred thirty-two million, one hundred seventy-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 444 592 888 1184 1776 2368 3023 3552 6046 6637 7104 9069 12092 13274 18138 19911 24184 26548 36276 39822 48368 53096 72552 79644 96736 106192 111851 145104 159288 193472 212384 223702 245569 290208 318576 335553 424768 447404 491138 580416 637152 671106 736707 894808 982276 1274304 1342212 1473414 1789616 1964552 2684424 2946828 3579232 3929104 5368848 5893656 7158464 7858208 10737696 11787312 15716416 20063651 21475392 23574624 40127302 47149248 60190953 80254604 120381906 160509208 240763812 321018416 481527624 642036832 742355087 963055248 1284073664 1484710174 1926110496 2227065261 2969420348 3852220992 4454130522 5938840696 8908261044 11877681392 17816522088 23755362784 35633044176 47510725568 71266088352 142532176704