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146281044 = 223713971381
BaseRepresentation
bin10001011100000…
…01001001010100
3101012020211212110
420232001021110
5244421443134
622303151020
73424240230
oct1056011124
9335224773
10146281044
1175632128
1240ba5470
13243c9240
14155db5c0
15cc977e9
hex8b81254

146281044 has 96 divisors (see below), whose sum is σ = 424727296. Its totient is φ = 38154240.

The previous prime is 146280997. The next prime is 146281117. The reversal of 146281044 is 440182641.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105234 + ... + 106614.

Almost surely, 2146281044 is an apocalyptic number.

146281044 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 146281044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212363648).

146281044 is an abundant number, since it is smaller than the sum of its proper divisors (278446252).

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

146281044 is a wasteful number, since it uses less digits than its factorization.

146281044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 146281044 is about 12094.6700657769. The cubic root of 146281044 is about 526.9013974411.

The spelling of 146281044 in words is "one hundred forty-six million, two hundred eighty-one thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 97 156 182 194 273 291 364 388 546 582 679 1092 1164 1261 1358 1381 2037 2522 2716 2762 3783 4074 4143 5044 5524 7566 8148 8286 8827 9667 15132 16572 17654 17953 19334 26481 29001 35308 35906 38668 52962 53859 58002 71812 105924 107718 116004 125671 133957 215436 251342 267914 377013 401871 502684 535828 754026 803742 937699 1508052 1607484 1741441 1875398 2813097 3482882 3750796 5224323 5626194 6965764 10448646 11252388 12190087 20897292 24380174 36570261 48760348 73140522 146281044