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146094144 = 2637711531
BaseRepresentation
bin10001011010100…
…11100001000000
3101011220100111020
420231103201000
5244400003034
622255145440
73422531310
oct1055234100
9334810436
10146094144
1175514769
1240b15280
1324362151
141558d440
15cc5c249
hex8b53840

146094144 has 112 divisors (see below), whose sum is σ = 448275456. Its totient is φ = 41126400.

The previous prime is 146094077. The next prime is 146094149. The reversal of 146094144 is 441490641.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1460941442 = 42686997822185472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (146094149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94659 + ... + 96189.

Almost surely, 2146094144 is an apocalyptic number.

146094144 is a gapful number since it is divisible by the number (14) 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 146094144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224137728).

146094144 is an abundant number, since it is smaller than the sum of its proper divisors (302181312).

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

146094144 is a wasteful number, since it uses less digits than its factorization.

146094144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 146094144 is about 12086.9410522266. The cubic root of 146094144 is about 526.6768984464.

The spelling of 146094144 in words is "one hundred forty-six million, ninety-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 71 84 96 112 142 168 192 213 224 284 336 426 448 497 568 672 852 994 1136 1344 1491 1531 1704 1988 2272 2982 3062 3408 3976 4544 4593 5964 6124 6816 7952 9186 10717 11928 12248 13632 15904 18372 21434 23856 24496 31808 32151 36744 42868 47712 48992 64302 73488 85736 95424 97984 108701 128604 146976 171472 217402 257208 293952 326103 342944 434804 514416 652206 685888 760907 869608 1028832 1304412 1521814 1739216 2057664 2282721 2608824 3043628 3478432 4565442 5217648 6087256 6956864 9130884 10435296 12174512 18261768 20870592 24349024 36523536 48698048 73047072 146094144