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3943686144 = 2133374337
BaseRepresentation
bin1110101100001111…
…1110000000000000
3101011211202000100210
43223003332000000
531034040424034
61451154514120
7166504531146
oct35303760000
911154660323
103943686144
111744120852
12920895940
134ab0654c8
14295a95596
1518134e8e9
hexeb0fe000

3943686144 has 112 divisors (see below), whose sum is σ = 10802557008. Its totient is φ = 1278738432.

The previous prime is 3943686139. The next prime is 3943686161. The reversal of 3943686144 is 4416863493.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 3943686093 and 3943686102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 907144 + ... + 911480.

Almost surely, 23943686144 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 3943686144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5401278504).

3943686144 is an abundant number, since it is smaller than the sum of its proper divisors (6858870864).

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

3943686144 is an equidigital number, since it uses as much as digits as its factorization.

3943686144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4403 (or 4379 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 48.

The square root of 3943686144 is about 62798.7750198999. The cubic root of 3943686144 is about 1579.9164277753.

The spelling of 3943686144 in words is "three billion, nine hundred forty-three million, six hundred eighty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 512 592 768 888 1024 1184 1536 1776 2048 2368 3072 3552 4096 4337 4736 6144 7104 8192 8674 9472 12288 13011 14208 17348 18944 24576 26022 28416 34696 37888 52044 56832 69392 75776 104088 113664 138784 151552 160469 208176 227328 277568 303104 320938 416352 454656 481407 555136 641876 832704 909312 962814 1110272 1283752 1665408 1925628 2220544 2567504 3330816 3851256 4441088 5135008 6661632 7702512 8882176 10270016 13323264 15405024 17764352 20540032 26646528 30810048 35528704 41080064 53293056 61620096 82160128 106586112 123240192 164320256 246480384 328640512 492960768 657281024 985921536 1314562048 1971843072 3943686144