Search a number
-
+
38440173120 = 2635199720051
BaseRepresentation
bin100011110011001101…
…100111111001000000
310200012221222010021120
4203303031213321000
51112211141014440
625354214152240
72530404036366
oct436315477100
9120187863246
1038440173120
1115336526018
127549652680
133817b7408b
141c09373636
15eeeac0dd0
hex8f3367e40

38440173120 has 112 divisors (see below), whose sum is σ = 122114755008. Its totient is φ = 10245068800.

The previous prime is 38440173103. The next prime is 38440173137. The reversal of 38440173120 is 2137104483.

38440173120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38440173103) and next prime (38440173137).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1907095 + ... + 1927145.

Almost surely, 238440173120 is an apocalyptic number.

38440173120 is a gapful number since it is divisible by the number (30) 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 38440173120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61057377504).

38440173120 is an abundant number, since it is smaller than the sum of its proper divisors (83674581888).

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

38440173120 is a wasteful number, since it uses less digits than its factorization.

38440173120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22068 (or 22058 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 38440173120 in words is "thirty-eight billion, four hundred forty million, one hundred seventy-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1997 3994 5991 7988 9985 11982 15976 19970 20051 23964 29955 31952 39940 40102 47928 59910 60153 63904 79880 80204 95856 100255 119820 120306 127808 159760 160408 191712 200510 239640 240612 300765 319520 320816 383424 401020 479280 481224 601530 639040 641632 802040 958560 962448 1203060 1283264 1604080 1917120 1924896 2406120 3208160 3849792 4812240 6416320 9624480 19248960 40041847 80083694 120125541 160167388 200209235 240251082 320334776 400418470 480502164 600627705 640669552 800836940 961004328 1201255410 1281339104 1601673880 1922008656 2402510820 2562678208 3203347760 3844017312 4805021640 6406695520 7688034624 9610043280 12813391040 19220086560 38440173120