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514320043644 = 22321123471201469
BaseRepresentation
bin1110111101111111101…
…11010000111001111100
31211011112211220022011100
413132333313100321330
531411311412344034
61032135251253100
752105221144621
oct7367767207174
91734484808140
10514320043644
11189138290210
12838188aa190
1339666b54994
141ac7100a348
15d5a2dd4099
hex77bfdd0e7c

514320043644 has 144 divisors (see below), whose sum is σ = 1511430036480. Its totient is φ = 145906273920.

The previous prime is 514320043613. The next prime is 514320043663. The reversal of 514320043644 is 446340023415.

514320043644 is a `hidden beast` number, since 5 + 1 + 4 + 3 + 2 + 0 + 0 + 4 + 3 + 644 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 514320043599 and 514320043608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172659 + ... + 1028810.

It is an arithmetic number, because the mean of its divisors is an integer number (10496041920).

Almost surely, 2514320043644 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 514320043644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755715018240).

514320043644 is an abundant number, since it is smaller than the sum of its proper divisors (997109992836).

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

514320043644 is a wasteful number, since it uses less digits than its factorization.

514320043644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201560 (or 1201555 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 514320043644 in words is "five hundred fourteen billion, three hundred twenty million, forty-three thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 47 66 69 92 94 99 132 138 141 188 198 207 253 276 282 396 414 423 506 517 564 759 828 846 1012 1034 1081 1518 1551 1692 2068 2162 2277 3036 3102 3243 4324 4554 4653 6204 6486 9108 9306 9729 11891 12972 18612 19458 23782 35673 38916 47564 71346 107019 142692 214038 428076 1201469 2402938 3604407 4805876 7208814 10813221 13216159 14417628 21626442 26432318 27633787 39648477 43252884 52864636 55267574 56469043 79296954 82901361 110535148 112938086 118945431 158593908 165802722 169407129 225876172 237890862 248704083 303971657 331605444 338814258 475781724 497408166 508221387 607943314 621159473 677628516 911914971 994816332 1016442774 1215886628 1242318946 1298787989 1823829942 1863478419 2032885548 2484637892 2597575978 2735744913 3647659884 3726956838 3896363967 5195151956 5471489826 5590435257 7453913676 7792727934 10942979652 11180870514 11689091901 14286667879 15585455868 22361741028 23378183802 28573335758 42860003637 46756367604 57146671516 85720007274 128580010911 171440014548 257160021822 514320043644