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7141742640 = 2432528613467
BaseRepresentation
bin1101010011010111…
…00101100000110000
3200102201110010010200
412221223211200300
5104111241231030
63140400155200
7341656545054
oct65153454060
920381403120
107141742640
113035366a4a
121473908b00
1389a7a3526
144ba6d5c64
152bbeb6d60
hex1a9ae5830

7141742640 has 120 divisors (see below), whose sum is σ = 23999655888. Its totient is φ = 1903249920.

The previous prime is 7141742549. The next prime is 7141742683. The reversal of 7141742640 is 462471417.

It is a happy number.

7141742640 is a `hidden beast` number, since 7 + 1 + 4 + 1 + 7 + 4 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7141742595 and 7141742604.

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, 2058187 + ... + 2061653.

Almost surely, 27141742640 is an apocalyptic number.

It is an amenable number.

7141742640 is an abundant number, since it is smaller than the sum of its proper divisors (16857913248).

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

7141742640 is a wasteful number, since it uses less digits than its factorization.

7141742640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6347 (or 6338 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 7141742640 is about 84508.8317278141. The cubic root of 7141742640 is about 1925.7566162760.

The spelling of 7141742640 in words is "seven billion, one hundred forty-one million, seven hundred forty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 2861 3467 5722 6934 8583 10401 11444 13868 14305 17166 17335 20802 22888 25749 27736 28610 31203 34332 34670 41604 42915 45776 51498 52005 55472 57220 62406 68664 69340 83208 85830 102996 104010 114440 124812 128745 137328 138680 156015 166416 171660 205992 208020 228880 249624 257490 277360 312030 343320 411984 416040 499248 514980 624060 686640 832080 1029960 1248120 2059920 2496240 9919087 19838174 29757261 39676348 49595435 59514522 79352696 89271783 99190870 119029044 148786305 158705392 178543566 198381740 238058088 297572610 357087132 396763480 446358915 476116176 595145220 714174264 793526960 892717830 1190290440 1428348528 1785435660 2380580880 3570871320 7141742640