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40103673017628 = 223112336247208729
BaseRepresentation
bin10010001111001010111010…
…01011110011010100011100
312020222212120220222222112010
421013211131023303110130
520224024310243031003
6221143212324511220
711306252255126313
oct1107453513632434
9166885526888463
1040103673017628
1111861965a10730
1245b843ab4b510
13194b9b60414cc
149c905729527a
154982c663d003
hex24795d2f351c

40103673017628 has 96 divisors (see below), whose sum is σ = 102537099624960. Its totient is φ = 12098476016640.

The previous prime is 40103673017579. The next prime is 40103673017689. The reversal of 40103673017628 is 82671037630104.

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, 192028368 + ... + 192237096.

It is an arithmetic number, because the mean of its divisors is an integer number (1068094787760).

Almost surely, 240103673017628 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 40103673017628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51268549812480).

40103673017628 is an abundant number, since it is smaller than the sum of its proper divisors (62433426607332).

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

40103673017628 is a wasteful number, since it uses less digits than its factorization.

40103673017628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215227 (or 215225 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 40103673017628 in words is "forty trillion, one hundred three billion, six hundred seventy-three million, seventeen thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 233 466 699 932 1398 2563 2796 5126 6247 7689 10252 12494 15378 18741 24988 30756 37482 68717 74964 137434 206151 208729 274868 412302 417458 626187 824604 834916 1252374 1455551 2296019 2504748 2911102 4366653 4592038 5822204 6888057 8733306 9184076 13776114 16011061 17466612 27552228 32022122 48033183 48633857 64044244 96066366 97267714 145901571 192132732 194535428 291803142 534972427 583606284 1069944854 1303930063 1604917281 2139889708 2607860126 3209834562 3911790189 5215720252 6419669124 7823580378 14343230693 15647160756 28686461386 43029692079 57372922772 86059384158 172118768316 303815704679 607631409358 911447114037 1215262818716 1822894228074 3341972751469 3645788456148 6683945502938 10025918254407 13367891005876 20051836508814 40103673017628