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44831702139904 = 21089223512
BaseRepresentation
bin10100011000110001100011…
…01011100100010000000000
312212201212110101221000121001
422030120301223210100000
521334010311221434104
6235203222153341344
712304661241434551
oct1214306153442000
9185655411830531
1044831702139904
1113315022109359
125040826407854
131c027c4250214
14b0dc1a2aa328
1552b29726aaa4
hex28c631ae4400

44831702139904 has 99 divisors (see below), whose sum is σ = 90676468872901. Its totient is φ = 22154560102400.

The previous prime is 44831702139883. The next prime is 44831702139923. The reversal of 44831702139904 is 40993120713844.

The square root of 44831702139904 is 6695648.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8608637666304 + 36223064473600 = 2934048^2 + 6018560^2 .

It is a super-2 number, since 2×448317021399042 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19069204329 + ... + 19069206679.

Almost surely, 244831702139904 is an apocalyptic number.

44831702139904 is the 6695648-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44831702139904

44831702139904 is an abundant number, since it is smaller than the sum of its proper divisors (45844766732997).

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

44831702139904 is an frugal number, since it uses more digits than its factorization.

44831702139904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4900 (or 2442 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 55.

The spelling of 44831702139904 in words is "forty-four trillion, eight hundred thirty-one billion, seven hundred two million, one hundred thirty-nine thousand, nine hundred four".

Divisors: 1 2 4 8 16 32 64 89 128 178 256 356 512 712 1024 1424 2351 2848 4702 5696 7921 9404 11392 15842 18808 22784 31684 37616 45568 63368 75232 91136 126736 150464 209239 253472 300928 418478 506944 601856 836956 1013888 1203712 1673912 2027776 2407424 3347824 4055552 5527201 6695648 8111104 11054402 13391296 18622271 22108804 26782592 37244542 44217608 53565184 74489084 88435216 107130368 148978168 176870432 214260736 297956336 353740864 491920889 595912672 707481728 983841778 1191825344 1414963456 1967683556 2383650688 2829926912 3935367112 4767301376 5659853824 7870734224 9534602752 15741468448 19069205504 31482936896 43780959121 62965873792 87561918242 125931747584 175123836484 251863495168 350247672968 503726990336 700495345936 1400990691872 2801981383744 5603962767488 11207925534976 22415851069952 44831702139904