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4140974640 = 2435117321487
BaseRepresentation
bin1111011011010010…
…0100001000110000
3101200120222022022010
43312310210020300
531440042142030
61522523242520
7204421463235
oct36664441060
911616868263
104140974640
1118355215a0
12976979440
1350cbb056a
142b3d6d78c
151938206b0
hexf6d24230

4140974640 has 160 divisors (see below), whose sum is σ = 14196519936. Its totient is φ = 990074880.

The previous prime is 4140974603. The next prime is 4140974689. The reversal of 4140974640 is 464790414.

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, 181977 + ... + 203463.

Almost surely, 24140974640 is an apocalyptic number.

4140974640 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 4140974640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7098259968).

4140974640 is an abundant number, since it is smaller than the sum of its proper divisors (10055545296).

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

4140974640 is a wasteful number, since it uses less digits than its factorization.

4140974640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21587 (or 21581 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 4140974640 is about 64350.4051269299. The cubic root of 4140974640 is about 1605.8347692194.

The spelling of 4140974640 in words is "four billion, one hundred forty million, nine hundred seventy-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 73 80 88 110 120 132 146 165 176 219 220 240 264 292 330 365 438 440 528 584 660 730 803 876 880 1095 1168 1320 1460 1606 1752 2190 2409 2640 2920 3212 3504 4015 4380 4818 5840 6424 8030 8760 9636 12045 12848 16060 17520 19272 21487 24090 32120 38544 42974 48180 64240 64461 85948 96360 107435 128922 171896 192720 214870 236357 257844 322305 343792 429740 472714 515688 644610 709071 859480 945428 1031376 1181785 1289220 1418142 1568551 1718960 1890856 2363570 2578440 2836284 3137102 3545355 3781712 4705653 4727140 5156880 5672568 6274204 7090710 7842755 9411306 9454280 11345136 12548408 14181420 15685510 17254061 18822612 18908560 23528265 25096816 28362840 31371020 34508122 37645224 47056530 51762183 56725680 62742040 69016244 75290448 86270305 94113060 103524366 125484080 138032488 172540610 188226120 207048732 258810915 276064976 345081220 376452240 414097464 517621830 690162440 828194928 1035243660 1380324880 2070487320 4140974640