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254103034140 = 2232528331315937
BaseRepresentation
bin1110110010100110111…
…0001001100100011100
3220021212212200120211200
43230221232021210130
513130400334043030
6312422221515500
724233624103264
oct3545156114434
9807785616750
10254103034140
11988455a155a
12412b6712b90
131ac67147147
14c4277067a4
156923142d60
hex3b29b8991c

254103034140 has 144 divisors (see below), whose sum is σ = 776022750048. Its totient is φ = 67301425152.

The previous prime is 254103034109. The next prime is 254103034153. The reversal of 254103034140 is 41430301452.

It is a happy number.

254103034140 is a `hidden beast` number, since 254 + 1 + 0 + 30 + 341 + 40 = 666.

254103034140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15936252 + ... + 15952188.

Almost surely, 2254103034140 is an apocalyptic number.

254103034140 is a gapful number since it is divisible by the number (20) 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 254103034140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388011375024).

254103034140 is an abundant number, since it is smaller than the sum of its proper divisors (521919715908).

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

254103034140 is a wasteful number, since it uses less digits than its factorization.

254103034140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16548 (or 16543 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 254103034140 its reverse (41430301452), we get a palindrome (295533335592).

The spelling of 254103034140 in words is "two hundred fifty-four billion, one hundred three million, thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 283 313 566 626 849 939 1132 1252 1415 1565 1698 1878 2547 2817 2830 3130 3396 3756 4245 4695 5094 5634 5660 6260 8490 9390 10188 11268 12735 14085 15937 16980 18780 25470 28170 31874 47811 50940 56340 63748 79685 88579 95622 143433 159370 177158 191244 239055 265737 286866 318740 354316 442895 478110 531474 573732 717165 797211 885790 956220 1062948 1328685 1434330 1594422 1771580 2657370 2868660 3188844 3986055 4510171 4988281 5314740 7972110 9020342 9976562 13530513 14964843 15944220 18040684 19953124 22550855 24941405 27061026 29929686 40591539 44894529 45101710 49882810 54122052 59859372 67652565 74824215 81183078 89789058 90203420 99765620 135305130 149648430 162366156 179578116 202957695 224472645 270610260 299296860 405915390 448945290 811830780 897890580 1411683523 2823367046 4235050569 5646734092 7058417615 8470101138 12705151707 14116835230 16940202276 21175252845 25410303414 28233670460 42350505690 50820606828 63525758535 84701011380 127051517070 254103034140