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3149417544 = 2337136721523
BaseRepresentation
bin1011101110111000…
…0100110001001000
322010111011222200020
42323232010301020
522422222330134
61240302540440
7141021415230
oct27356046110
98114158606
103149417544
111376845019
1273a897720
133b263b2a0
1421c3bccc0
1513675ab49
hexbbb84c48

3149417544 has 128 divisors (see below), whose sum is σ = 9835607040. Its totient is φ = 818180352.

The previous prime is 3149417539. The next prime is 3149417597. The reversal of 3149417544 is 4457149413.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 3149417496 and 3149417505.

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, 135567 + ... + 157089.

It is an arithmetic number, because the mean of its divisors is an integer number (76840680).

Almost surely, 23149417544 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 3149417544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4917803520).

3149417544 is an abundant number, since it is smaller than the sum of its proper divisors (6686189496).

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

3149417544 is a wasteful number, since it uses less digits than its factorization.

3149417544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21619 (or 21615 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 3149417544 is about 56119.6716312560. The cubic root of 3149417544 is about 1465.8068519200.

The spelling of 3149417544 in words is "three billion, one hundred forty-nine million, four hundred seventeen thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 67 78 84 91 104 134 156 168 182 201 268 273 312 364 402 469 536 546 728 804 871 938 1092 1407 1608 1742 1876 2184 2613 2814 3484 3752 5226 5628 6097 6968 10452 11256 12194 18291 20904 21523 24388 36582 43046 48776 64569 73164 86092 129138 146328 150661 172184 258276 279799 301322 451983 516552 559598 602644 839397 903966 1119196 1205288 1442041 1678794 1807932 1958593 2238392 2884082 3357588 3615864 3917186 4326123 5768164 5875779 6715176 7834372 8652246 10094287 11536328 11751558 15668744 17304492 18746533 20188574 23503116 30282861 34608984 37493066 40377148 47006232 56239599 60565722 74986132 80754296 112479198 121131444 131225731 149972264 224958396 242262888 262451462 393677193 449916792 524902924 787354386 1049805848 1574708772 3149417544