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3023100144 = 24342419679
BaseRepresentation
bin1011010000110000…
…1101100011110000
321210200111101210000
42310030031203300
522142403201034
61215551310000
7134625633021
oct26414154360
97720441700
103023100144
111311508979
1270451b300
13392411a6c
142096dac48
1512a608599
hexb430d8f0

3023100144 has 100 divisors (see below), whose sum is σ = 8786942560. Its totient is φ = 1003415040.

The previous prime is 3023100131. The next prime is 3023100167. The reversal of 3023100144 is 4410013203.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 307497 + ... + 317175.

Almost surely, 23023100144 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 3023100144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4393471280).

3023100144 is an abundant number, since it is smaller than the sum of its proper divisors (5763842416).

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

3023100144 is a wasteful number, since it uses less digits than its factorization.

3023100144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9940 (or 9925 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3023100144 is about 54982.7258691309. The cubic root of 3023100144 is about 1445.9419063798.

Adding to 3023100144 its reverse (4410013203), we get a palindrome (7433113347).

The spelling of 3023100144 in words is "three billion, twenty-three million, one hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 241 324 432 482 648 723 964 1296 1446 1928 2169 2892 3856 4338 5784 6507 8676 9679 11568 13014 17352 19358 19521 26028 29037 34704 38716 39042 52056 58074 77432 78084 87111 104112 116148 154864 156168 174222 232296 261333 312336 348444 464592 522666 696888 783999 1045332 1393776 1567998 2090664 2332639 3135996 4181328 4665278 6271992 6997917 9330556 12543984 13995834 18661112 20993751 27991668 37322224 41987502 55983336 62981253 83975004 111966672 125962506 167950008 188943759 251925012 335900016 377887518 503850024 755775036 1007700048 1511550072 3023100144