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31422448448 = 265979105337
BaseRepresentation
bin11101010000111011…
…001000001101000000
310000002212212202210222
4131100323020031000
51003323121322243
622234004042212
72161451255606
oct352073101500
9100085782728
1031422448448
1112365175666
12610b393368
132c69ca3581
141741321876
15c3d955168
hex750ec8340

31422448448 has 56 divisors (see below), whose sum is σ = 64214044800. Its totient is φ = 15249282048.

The previous prime is 31422448429. The next prime is 31422448459. The reversal of 31422448448 is 84484422413.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 31422448399 and 31422448408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 245636 + ... + 350972.

Almost surely, 231422448448 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 31422448448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32107022400).

31422448448 is an abundant number, since it is smaller than the sum of its proper divisors (32791596352).

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

31422448448 is a wasteful number, since it uses less digits than its factorization.

31422448448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105487 (or 105477 counting only the distinct ones).

The product of its digits is 786432, while the sum is 44.

The spelling of 31422448448 in words is "thirty-one billion, four hundred twenty-two million, four hundred forty-eight thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 32 59 64 79 118 158 236 316 472 632 944 1264 1888 2528 3776 4661 5056 9322 18644 37288 74576 105337 149152 210674 298304 421348 842696 1685392 3370784 6214883 6741568 8321623 12429766 16643246 24859532 33286492 49719064 66572984 99438128 133145968 198876256 266291936 397752512 490975757 532583872 981951514 1963903028 3927806056 7855612112 15711224224 31422448448