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7140923664 = 2437213672221
BaseRepresentation
bin1101010011010000…
…11101100100010000
3200102122220111201020
412221220131210100
5104111034024124
63140330435440
7341646564300
oct65150354420
920378814636
107140923664
113034957706
121473592b80
1389a577824
144ba561600
152bbda4379
hex1a9a1d910

7140923664 has 120 divisors (see below), whose sum is σ = 21484571328. Its totient is φ = 2037853440.

The previous prime is 7140923623. The next prime is 7140923683. The reversal of 7140923664 is 4663290417.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3214074 + ... + 3216294.

Almost surely, 27140923664 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 7140923664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10742285664).

7140923664 is an abundant number, since it is smaller than the sum of its proper divisors (14343647664).

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

7140923664 is a wasteful number, since it uses less digits than its factorization.

7140923664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3613 (or 3600 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 7140923664 is about 84503.9860834979. The cubic root of 7140923664 is about 1925.6830017153.

The spelling of 7140923664 in words is "seven billion, one hundred forty million, nine hundred twenty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 1367 2221 2352 2734 4101 4442 5468 6663 8202 8884 9569 10936 13326 15547 16404 17768 19138 21872 26652 28707 31094 32808 35536 38276 46641 53304 57414 62188 65616 66983 76552 93282 106608 108829 114828 124376 133966 153104 186564 200949 217658 229656 248752 267932 326487 373128 401898 435316 459312 535864 652974 746256 803796 870632 1071728 1305948 1607592 1741264 2611896 3036107 3215184 5223792 6072214 9108321 12144428 18216642 21252749 24288856 36433284 42505498 48577712 63758247 72866568 85010996 127516494 145733136 148769243 170021992 255032988 297538486 340043984 446307729 510065976 595076972 892615458 1020131952 1190153944 1785230916 2380307888 3570461832 7140923664