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4023121344 = 263116832789
BaseRepresentation
bin1110111111001011…
…1111010111000000
3101101101012201222020
43233302333113000
531214404340334
61503113241440
7201460652514
oct35762772700
911341181866
104023121344
111784a46680
12943403280
134c1658798
142a2452144
151882e0e49
hexefcbf5c0

4023121344 has 112 divisors (see below), whose sum is σ = 11633362560. Its totient is φ = 1216906240.

The previous prime is 4023121301. The next prime is 4023121363. The reversal of 4023121344 is 4431213204.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 1441102 + ... + 1443890.

Almost surely, 24023121344 is an apocalyptic number.

4023121344 is a gapful number since it is divisible by the number (44) 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 4023121344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5816681280).

4023121344 is an abundant number, since it is smaller than the sum of its proper divisors (7610241216).

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

4023121344 is a wasteful number, since it uses less digits than its factorization.

4023121344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3498 (or 3488 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4023121344 is about 63428.0800907611. The cubic root of 4023121344 is about 1590.4537481144.

Adding to 4023121344 its reverse (4431213204), we get a palindrome (8454334548).

The spelling of 4023121344 in words is "four billion, twenty-three million, one hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 683 704 1056 1366 2049 2112 2732 2789 4098 5464 5578 7513 8196 8367 10928 11156 15026 16392 16734 21856 22312 22539 30052 30679 32784 33468 43712 44624 45078 60104 61358 65568 66936 89248 90156 92037 120208 122716 131136 133872 178496 180312 184074 240416 245432 267744 360624 368148 480832 490864 535488 721248 736296 981728 1442496 1472592 1904887 1963456 2945184 3809774 5714661 5890368 7619548 11429322 15239096 20953757 22858644 30478192 41907514 45717288 60956384 62861271 83815028 91434576 121912768 125722542 167630056 182869152 251445084 335260112 365738304 502890168 670520224 1005780336 1341040448 2011560672 4023121344