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1404144342 = 233172373911
BaseRepresentation
bin101001110110001…
…1000101011010110
310121212010220221000
41103230120223112
510333430104332
6351155404130
746540013166
oct12354305326
93555126830
101404144342
1166066a477
123322b3646
13194b9cc53
14d46b05a6
1583412b7c
hex53b18ad6

1404144342 has 128 divisors (see below), whose sum is σ = 3498577920. Its totient is φ = 415134720.

The previous prime is 1404144337. The next prime is 1404144347. The reversal of 1404144342 is 2434414041.

1404144342 is a `hidden beast` number, since 140 + 41 + 443 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (1404144337) and next prime (1404144347).

It is a super-2 number, since 2×14041443422 = 3943242666341225928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1404144347) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1540867 + ... + 1541777.

It is an arithmetic number, because the mean of its divisors is an integer number (27332640).

Almost surely, 21404144342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1404144342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749288960).

1404144342 is an abundant number, since it is smaller than the sum of its proper divisors (2094433578).

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

1404144342 is a wasteful number, since it uses less digits than its factorization.

1404144342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 1404144342 is about 37471.9140423865. The cubic root of 1404144342 is about 1119.7917188161.

Adding to 1404144342 its reverse (2434414041), we get a palindrome (3838558383).

The spelling of 1404144342 in words is "one billion, four hundred four million, one hundred forty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 17 18 23 27 34 46 51 54 69 73 102 138 146 153 207 219 306 391 414 438 459 621 657 782 911 918 1173 1241 1242 1314 1679 1822 1971 2346 2482 2733 3358 3519 3723 3942 5037 5466 7038 7446 8199 10074 10557 11169 15111 15487 16398 20953 21114 22338 24597 28543 30222 30974 33507 41906 45333 46461 49194 57086 62859 66503 67014 85629 90666 92922 125718 133006 139383 171258 188577 199509 256887 278766 356201 377154 399018 418149 513774 565731 598527 712402 770661 836298 1068603 1130551 1131462 1197054 1529569 1541322 1795581 2137206 2261102 3059138 3205809 3391653 3591162 4588707 6411618 6783306 9177414 9617427 10174959 13766121 19234854 20349918 26002673 27532242 30524877 41298363 52005346 61049754 78008019 82596726 156016038 234024057 468048114 702072171 1404144342