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1004123142 = 23611137457
BaseRepresentation
bin111011110110011…
…011010000000110
32120222102202000000
4323312123100012
54024023420032
6243345502130
733611622501
oct7366332006
92528382000
101004123142
1147588a640
12240341946
13130051b09
1497502138
155d247e7c
hex3bd9b406

1004123142 has 112 divisors (see below), whose sum is σ = 2486950992. Its totient is φ = 301397760.

The previous prime is 1004123137. The next prime is 1004123149. The reversal of 1004123142 is 2413214001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004123149) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2196978 + ... + 2197434.

Almost surely, 21004123142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004123142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243475496).

1004123142 is an abundant number, since it is smaller than the sum of its proper divisors (1482827850).

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

1004123142 is a wasteful number, since it uses less digits than its factorization.

1004123142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1004123142 is about 31687.9021394601. The cubic root of 1004123142 is about 1001.3724960594.

Adding to 1004123142 its reverse (2413214001), we get a palindrome (3417337143).

The spelling of 1004123142 in words is "one billion, four million, one hundred twenty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 137 162 198 243 274 297 411 457 486 594 729 822 891 914 1233 1371 1458 1507 1782 2466 2673 2742 3014 3699 4113 4521 5027 5346 7398 8019 8226 9042 10054 11097 12339 13563 15081 16038 22194 24678 27126 30162 33291 37017 40689 45243 62609 66582 74034 81378 90486 99873 111051 122067 125218 135729 187827 199746 222102 244134 271458 333153 366201 375654 407187 563481 666306 688699 732402 814374 1098603 1126962 1221561 1377398 1690443 2066097 2197206 2443122 3380886 3664683 4132194 5071329 6198291 7329366 10142658 12396582 15213987 18594873 30427974 37189746 45641961 55784619 91283922 111569238 167353857 334707714 502061571 1004123142