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3947044140 = 223551362473
BaseRepresentation
bin1110101101000011…
…0001110100101100
3101012002001121200000
43223100301310230
531040420403030
61451354504300
7166545215214
oct35320616454
911162047600
103947044140
111746004756
12921a35090
134ab96caa0
142962cb244
151817b4860
hexeb431d2c

3947044140 has 144 divisors (see below), whose sum is σ = 13371435168. Its totient is φ = 971564544.

The previous prime is 3947044133. The next prime is 3947044147. The reversal of 3947044140 is 414407493.

3947044140 is a `hidden beast` number, since 3 + 9 + 470 + 44 + 140 = 666.

3947044140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3947044133) and next prime (3947044147).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 3947044095 and 3947044104.

It is not an unprimeable number, because it can be changed into a prime (3947044147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31944 + ... + 94416.

Almost surely, 23947044140 is an apocalyptic number.

3947044140 is a gapful number since it is divisible by the number (30) 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 3947044140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6685717584).

3947044140 is an abundant number, since it is smaller than the sum of its proper divisors (9424391028).

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

3947044140 is a wasteful number, since it uses less digits than its factorization.

3947044140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62510 (or 62496 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3947044140 is about 62825.5054894109. The cubic root of 3947044140 is about 1580.3647264609.

The spelling of 3947044140 in words is "three billion, nine hundred forty-seven million, forty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 243 260 270 324 351 390 405 468 486 540 585 702 780 810 972 1053 1170 1215 1404 1620 1755 2106 2340 2430 3159 3510 4212 4860 5265 6318 7020 10530 12636 15795 21060 31590 62473 63180 124946 187419 249892 312365 374838 562257 624730 749676 812149 937095 1124514 1249460 1624298 1686771 1874190 2249028 2436447 2811285 3248596 3373542 3748380 4060745 4872894 5060313 5622570 6747084 7309341 8121490 8433855 9745788 10120626 11245140 12182235 14618682 15180939 16242980 16867710 20241252 21928023 24364470 25301565 29237364 30361878 33735420 36546705 43856046 48728940 50603130 60723756 65784069 73093410 75904695 87712092 101206260 109640115 131568138 146186820 151809390 197352207 219280230 263136276 303618780 328920345 394704414 438560460 657840690 789408828 986761035 1315681380 1973522070 3947044140