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4918740240 = 243531661121
BaseRepresentation
bin1001001010010111…
…00000010100010000
3110200210110220010110
410211023200110100
540033144141430
62132025401320
7232614413361
oct44513402420
913623426113
104918740240
1120a4556387
12b53339240
13605079cab
1434938bb68
151dbc547b0
hex1252e0510

4918740240 has 80 divisors (see below), whose sum is σ = 15739992576. Its totient is φ = 1269350400.

The previous prime is 4918740221. The next prime is 4918740241. The reversal of 4918740240 is 420478194.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (4918740241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 323121 + ... + 338000.

Almost surely, 24918740240 is an apocalyptic number.

4918740240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4918740240 is an abundant number, since it is smaller than the sum of its proper divisors (10821252336).

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

4918740240 is a wasteful number, since it uses less digits than its factorization.

4918740240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661168 (or 661162 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 4918740240 is about 70133.7311142078. The cubic root of 4918740240 is about 1700.6618230519.

The spelling of 4918740240 in words is "four billion, nine hundred eighteen million, seven hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 661121 1322242 1983363 2644484 3305605 3966726 5288968 6611210 7933452 9916815 10577936 13222420 15866904 19833630 20494751 26444840 31733808 39667260 40989502 52889680 61484253 79334520 81979004 102473755 122968506 158669040 163958008 204947510 245937012 307421265 327916016 409895020 491874024 614842530 819790040 983748048 1229685060 1639580080 2459370120 4918740240