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1433620146042 = 233717257868081
BaseRepresentation
bin10100110111001010011…
…010110110011101111010
312002001102110020011122000
4110313022122312131322
5141442023224133132
63014332423041430
7205401305115360
oct24671232663572
95061373204560
101433620146042
11502aa421a657
121b1a185a0276
13a5260cb3b06
144d55d769630
15274599c987c
hex14dca6b677a

1433620146042 has 128 divisors (see below), whose sum is σ = 3870117895680. Its totient is φ = 384010813440.

The previous prime is 1433620146041. The next prime is 1433620146109. The reversal of 1433620146042 is 2406410263341.

1433620146042 is a `hidden beast` number, since 1 + 4 + 3 + 36 + 2 + 0 + 14 + 604 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1433620145988 and 1433620146006.

It is not an unprimeable number, because it can be changed into a prime (1433620146041) 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, 1217442 + ... + 2085522.

It is an arithmetic number, because the mean of its divisors is an integer number (30235296060).

Almost surely, 21433620146042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1433620146042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935058947840).

1433620146042 is an abundant number, since it is smaller than the sum of its proper divisors (2436497749638).

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

1433620146042 is a wasteful number, since it uses less digits than its factorization.

1433620146042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868373 (or 868367 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 1433620146042 in words is "one trillion, four hundred thirty-three billion, six hundred twenty million, one hundred forty-six thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 102 119 126 153 189 238 257 306 357 378 459 514 714 771 918 1071 1542 1799 2142 2313 3213 3598 4369 4626 5397 6426 6939 8738 10794 13107 13878 16191 26214 30583 32382 39321 48573 61166 78642 91749 97146 117963 183498 235926 275247 550494 825741 868081 1651482 1736162 2604243 5208486 6076567 7812729 12153134 14757377 15625458 18229701 23438187 29514754 36459402 44272131 46876374 54689103 88544262 103301639 109378206 132816393 164067309 206603278 223096817 265632786 309904917 328134618 398449179 446193634 619809834 669290451 796898358 929714751 1338580902 1561677719 1859429502 2007871353 2789144253 3123355438 3792645889 4015742706 4685033157 5578288506 6023614059 7585291778 9370066314 11377937667 12047228118 14055099471 22755875334 26548521223 28110198942 34133813001 42165298413 53097042446 68267626002 79645563669 84330596826 102401439003 159291127338 204802878006 238936691007 477873382014 716810073021 1433620146042