Search a number
-
+
40530520240 = 2457793132927
BaseRepresentation
bin100101101111110011…
…101010100010110000
310212121122022202110021
4211233303222202300
51131001303121430
630341445413224
72633245511020
oct455763524260
9125548282407
1040530520240
1116209470821
127a3170a214
133a8bc62372
141d66c29a80
1510c337d07a
hex96fcea8b0

40530520240 has 160 divisors (see below), whose sum is σ = 109444423680. Its totient is φ = 13671770112.

The previous prime is 40530520237. The next prime is 40530520297. The reversal of 40530520240 is 4202503504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13845657 + ... + 13848583.

It is an arithmetic number, because the mean of its divisors is an integer number (684027648).

Almost surely, 240530520240 is an apocalyptic number.

40530520240 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 40530520240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54722211840).

40530520240 is an abundant number, since it is smaller than the sum of its proper divisors (68913903440).

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

40530520240 is a wasteful number, since it uses less digits than its factorization.

40530520240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3339 (or 3333 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The spelling of 40530520240 in words is "forty billion, five hundred thirty million, five hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 79 80 112 140 158 280 313 316 395 553 560 626 632 790 1106 1252 1264 1565 1580 2191 2212 2504 2765 2927 3130 3160 4382 4424 5008 5530 5854 6260 6320 8764 8848 10955 11060 11708 12520 14635 17528 20489 21910 22120 23416 24727 25040 29270 35056 40978 43820 44240 46832 49454 58540 81956 87640 98908 102445 117080 123635 163912 173089 175280 197816 204890 231233 234160 247270 327824 346178 395632 409780 462466 494540 692356 819560 865445 916151 924932 989080 1156165 1384712 1618631 1639120 1730890 1832302 1849864 1978160 2312330 2769424 3237262 3461780 3664604 3699728 4580755 4624660 6413057 6474524 6923560 7329208 8093155 9161510 9249320 12826114 12949048 13847120 14658416 16186310 18323020 18498640 25652228 25898096 32065285 32372620 36646040 51304456 64130570 64745240 72375929 73292080 102608912 128261140 129490480 144751858 256522280 289503716 361879645 506631503 513044560 579007432 723759290 1013263006 1158014864 1447518580 2026526012 2533157515 2895037160 4053052024 5066315030 5790074320 8106104048 10132630060 20265260120 40530520240