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201044420032 = 2629315365929
BaseRepresentation
bin1011101100111100101…
…1100110010111000000
3201012221010112201102211
42323033023212113000
511243214332420112
6232205235351504
720345032242241
oct2731713462700
9635833481384
10201044420032
1178298374455
1232b69452594
1315c5c80c9b1
149a32ab2cc8
155369ecc0a7
hex2ecf2e65c0

201044420032 has 112 divisors (see below), whose sum is σ = 434062022400. Its totient is φ = 92151521280.

The previous prime is 201044419987. The next prime is 201044420041. The reversal of 201044420032 is 230024440102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 201044419985 and 201044420012.

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, 3016444 + ... + 3082372.

Almost surely, 2201044420032 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 201044420032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217031011200).

201044420032 is an abundant number, since it is smaller than the sum of its proper divisors (233017602368).

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

201044420032 is a wasteful number, since it uses less digits than its factorization.

201044420032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66054 (or 66044 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 201044420032 its reverse (230024440102), we get a palindrome (431068860134).

The spelling of 201044420032 in words is "two hundred one billion, forty-four million, four hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 29 31 32 53 58 62 64 106 116 124 212 232 248 424 464 496 848 899 928 992 1537 1643 1696 1798 1856 1984 3074 3286 3392 3596 6148 6572 7192 12296 13144 14384 24592 26288 28768 47647 49184 52576 57536 65929 95294 98368 105152 131858 190588 263716 381176 527432 762352 1054864 1524704 1911941 2043799 2109728 3049408 3494237 3823882 4087598 4219456 6988474 7647764 8175196 13976948 15295528 16350392 27953896 30591056 32700784 55907792 59270171 61182112 65401568 101332873 108321347 111815584 118540342 122364224 130803136 202665746 216642694 223631168 237080684 405331492 433285388 474161368 810662984 866570776 948322736 1621325968 1733141552 1896645472 3141319063 3242651936 3466283104 3793290944 6282638126 6485303872 6932566208 12565276252 25130552504 50261105008 100522210016 201044420032