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146373242004 = 2232113111923529
BaseRepresentation
bin1000100001010010000…
…1100110110010010100
3111222211000002010012100
42020110201212302110
54344233022221004
6151124250322100
713401160012533
oct2102441466224
9458730063170
10146373242004
11570929741a0
1224450129330
1310a59090c02
147127c3831a
153c1a4d4739
hex2214866c94

146373242004 has 72 divisors (see below), whose sum is σ = 416655832320. Its totient is φ = 42924700800.

The previous prime is 146373242003. The next prime is 146373242009. The reversal of 146373242004 is 400242373641.

146373242004 is a `hidden beast` number, since 1 + 46 + 373 + 242 + 0 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 146373242004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146373242003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5949489 + ... + 5974040.

It is an arithmetic number, because the mean of its divisors is an integer number (5786886560).

Almost surely, 2146373242004 is an apocalyptic number.

It is an amenable number.

146373242004 is an abundant number, since it is smaller than the sum of its proper divisors (270282590316).

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

146373242004 is a wasteful number, since it uses less digits than its factorization.

146373242004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11923581 (or 11923576 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 146373242004 in words is "one hundred forty-six billion, three hundred seventy-three million, two hundred forty-two thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 124 132 186 198 279 341 372 396 558 682 1023 1116 1364 2046 3069 4092 6138 12276 11923529 23847058 35770587 47694116 71541174 107311761 131158819 143082348 214623522 262317638 369629399 393476457 429247044 524635276 739258798 786952914 1108888197 1180429371 1478517596 1573905828 2217776394 2360858742 3326664591 4065923389 4435552788 4721717484 6653329182 8131846778 12197770167 13306658364 16263693556 24395540334 36593310501 48791080668 73186621002 146373242004