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41683714944 = 2731747135859
BaseRepresentation
bin100110110100100010…
…110000001110000000
310222121000021010012020
4212310202300032000
51140332012334234
631052122401440
73003650505504
oct466442601600
9128530233166
1041683714944
1116750408aa3
1280b3960280
133c13b495b1
142036054304
15113e720549
hex9b48b0380

41683714944 has 128 divisors (see below), whose sum is σ = 119730700800. Its totient is φ = 12798910464.

The previous prime is 41683714909. The next prime is 41683714981. The reversal of 41683714944 is 44941738614.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238887 + ... + 374745.

It is an arithmetic number, because the mean of its divisors is an integer number (935396100).

Almost surely, 241683714944 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 41683714944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59865350400).

41683714944 is an abundant number, since it is smaller than the sum of its proper divisors (78046985856).

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

41683714944 is a wasteful number, since it uses less digits than its factorization.

41683714944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135940 (or 135928 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 51.

The spelling of 41683714944 in words is "forty-one billion, six hundred eighty-three million, seven hundred fourteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 47 48 51 64 68 94 96 102 128 136 141 188 192 204 272 282 376 384 408 544 564 752 799 816 1088 1128 1504 1598 1632 2176 2256 2397 3008 3196 3264 4512 4794 6016 6392 6528 9024 9588 12784 18048 19176 25568 38352 51136 76704 102272 135859 153408 271718 306816 407577 543436 815154 1086872 1630308 2173744 2309603 3260616 4347488 4619206 6385373 6521232 6928809 8694976 9238412 12770746 13042464 13857618 17389952 18476824 19156119 25541492 26084928 27715236 36953648 38312238 51082984 52169856 55430472 73907296 76624476 102165968 108551341 110860944 147814592 153248952 204331936 217102682 221721888 295629184 306497904 325654023 408663872 434205364 443443776 612995808 651308046 817327744 868410728 886887552 1225991616 1302616092 1736821456 2451983232 2605232184 3473642912 5210464368 6947285824 10420928736 13894571648 20841857472 41683714944