Search a number
-
+
44164042320 = 24351922942293
BaseRepresentation
bin101001001000011000…
…011100111001010000
311012222212102210201010
4221020120130321100
51210421443323240
632142204410520
73122266110606
oct511030347120
9135885383633
1044164042320
11178034a5732
128686546a40
13421a97b628
1421cd623876
151237362280
hexa4861ce50

44164042320 has 160 divisors (see below), whose sum is σ = 144746985600. Its totient is φ = 11108247552.

The previous prime is 44164042309. The next prime is 44164042357. The reversal of 44164042320 is 2324046144.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1023094 + ... + 1065386.

It is an arithmetic number, because the mean of its divisors is an integer number (904668660).

Almost surely, 244164042320 is an apocalyptic number.

44164042320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44164042320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72373492800).

44164042320 is an abundant number, since it is smaller than the sum of its proper divisors (100582943280).

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

44164042320 is a wasteful number, since it uses less digits than its factorization.

44164042320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42557 (or 42551 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 44164042320 its reverse (2324046144), we get a palindrome (46488088464).

The spelling of 44164042320 in words is "forty-four billion, one hundred sixty-four million, forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 229 240 285 304 380 456 458 570 687 760 912 916 1140 1145 1374 1520 1832 2280 2290 2748 3435 3664 4351 4560 4580 5496 6870 8702 9160 10992 13053 13740 17404 18320 21755 26106 27480 34808 42293 43510 52212 54960 65265 69616 84586 87020 104424 126879 130530 169172 174040 208848 211465 253758 261060 338344 348080 422930 507516 522120 634395 676688 803567 845860 1015032 1044240 1268790 1607134 1691720 2030064 2410701 2537580 3214268 3383440 4017835 4821402 5075160 6428536 8035670 9642804 9685097 10150320 12053505 12857072 16071340 19285608 19370194 24107010 29055291 32142680 38571216 38740388 48214020 48425485 58110582 64285360 77480776 96428040 96850970 116221164 145276455 154961552 184016843 192856080 193701940 232442328 290552910 368033686 387403880 464884656 552050529 581105820 736067372 774807760 920084215 1104101058 1162211640 1472134744 1840168430 2208202116 2324423280 2760252645 2944269488 3680336860 4416404232 5520505290 7360673720 8832808464 11041010580 14721347440 22082021160 44164042320