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44640142320 = 24358310321757
BaseRepresentation
bin101001100100110000…
…101000001111110000
311021020001022012010110
4221210300220033300
51212410334023240
632301333101320
73140136643344
oct514460501760
9137201265113
1044640142320
1117a28218704
128799a87840
1342954b60c7
142236957624
151264058c80
hexa64c283f0

44640142320 has 160 divisors (see below), whose sum is σ = 141417948672. Its totient is φ = 11645899776.

The previous prime is 44640142301. The next prime is 44640142331. The reversal of 44640142320 is 2324104644.

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, 2040882 + ... + 2062638.

Almost surely, 244640142320 is an apocalyptic number.

44640142320 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 44640142320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70708974336).

44640142320 is an abundant number, since it is smaller than the sum of its proper divisors (96777806352).

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

44640142320 is a wasteful number, since it uses less digits than its factorization.

44640142320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21959 (or 21953 counting only the distinct ones).

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

Adding to 44640142320 its reverse (2324104644), we get a palindrome (46964246964).

The spelling of 44640142320 in words is "forty-four billion, six hundred forty million, one hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 83 103 120 166 206 240 249 309 332 412 415 498 515 618 664 824 830 996 1030 1236 1245 1328 1545 1648 1660 1992 2060 2472 2490 3090 3320 3984 4120 4944 4980 6180 6640 8240 8549 9960 12360 17098 19920 21757 24720 25647 34196 42745 43514 51294 65271 68392 85490 87028 102588 108785 128235 130542 136784 170980 174056 205176 217570 256470 261084 326355 341960 348112 410352 435140 512940 522168 652710 683920 870280 1025880 1044336 1305420 1740560 1805831 2051760 2240971 2610840 3611662 4481942 5221680 5417493 6722913 7223324 8963884 9029155 10834986 11204855 13445826 14446648 17927768 18058310 21669972 22409710 26891652 27087465 28893296 33614565 35855536 36116620 43339944 44819420 53783304 54174930 67229130 72233240 86679888 89638840 107566608 108349860 134458260 144466480 179277680 186000593 216699720 268916520 372001186 433399440 537833040 558001779 744002372 930002965 1116003558 1488004744 1860005930 2232007116 2790008895 2976009488 3720011860 4464014232 5580017790 7440023720 8928028464 11160035580 14880047440 22320071160 44640142320