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5641422240 = 253519618577
BaseRepresentation
bin1010100000100000…
…10100010110100000
3112120011022221110110
411100100110112200
543023201002430
62331443131320
7256541204106
oct52020242640
915504287413
105641422240
112435488033
121115373b40
136bb9cb48c
143b734bc76
152304077b0
hex1504145a0

5641422240 has 96 divisors (see below), whose sum is σ = 18705798720. Its totient is φ = 1425199104.

The previous prime is 5641422233. The next prime is 5641422251. The reversal of 5641422240 is 422241465.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5641422198 and 5641422207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300169 + ... + 318408.

It is an arithmetic number, because the mean of its divisors is an integer number (194852070).

Almost surely, 25641422240 is an apocalyptic number.

It is an amenable number.

5641422240 is an abundant number, since it is smaller than the sum of its proper divisors (13064376480).

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

5641422240 is a wasteful number, since it uses less digits than its factorization.

5641422240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618614 (or 618606 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 5641422240 is about 75109.4018082956. The cubic root of 5641422240 is about 1780.1757012103.

The spelling of 5641422240 in words is "five billion, six hundred forty-one million, four hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 3040 4560 9120 618577 1237154 1855731 2474308 3092885 3711462 4948616 6185770 7422924 9278655 9897232 11752963 12371540 14845848 18557310 19794464 23505926 24743080 29691696 35258889 37114620 47011852 49486160 58764815 59383392 70517778 74229240 94023704 98972320 117529630 141035556 148458480 176294445 188047408 235059260 282071112 296916960 352588890 376094816 470118520 564142224 705177780 940237040 1128284448 1410355560 1880474080 2820711120 5641422240