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10238436340 = 2251131279613
BaseRepresentation
bin10011000100100001…
…00010001111110100
3222102112102110021221
421202100202033310
5131432014430330
64411541120124
7511501162426
oct114220421764
928375373257
1010238436340
11438436a840
121b989b9044
13c72211672
146d1aac816
153edcaab7a
hex2624223f4

10238436340 has 144 divisors (see below), whose sum is σ = 24583184640. Its totient is φ = 3551558400.

The previous prime is 10238436323. The next prime is 10238436367. The reversal of 10238436340 is 4363483201.

It is a junction number, because it is equal to n+sod(n) for n = 10238436296 and 10238436305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16701874 + ... + 16702486.

It is an arithmetic number, because the mean of its divisors is an integer number (170716560).

Almost surely, 210238436340 is an apocalyptic number.

10238436340 is a gapful number since it is divisible by the number (10) 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 10238436340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12291592320).

10238436340 is an abundant number, since it is smaller than the sum of its proper divisors (14344748300).

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

10238436340 is a wasteful number, since it uses less digits than its factorization.

10238436340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The spelling of 10238436340 in words is "ten billion, two hundred thirty-eight million, four hundred thirty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 79 110 124 155 158 220 310 316 341 395 613 620 682 790 869 961 1226 1364 1580 1705 1738 1922 2449 2452 3065 3410 3476 3844 4345 4805 4898 6130 6743 6820 8690 9610 9796 10571 12245 12260 13486 17380 19003 19220 21142 24490 26939 26972 33715 38006 42284 48427 48980 52855 53878 67430 75919 76012 95015 96854 105710 107756 134695 134860 151838 190030 193708 209033 211420 242135 269390 303676 379595 380060 418066 484270 532697 538780 589093 759190 835109 836132 968540 1045165 1065394 1178186 1501237 1518380 1670218 2090330 2130788 2356372 2663485 2945465 3002474 3340436 4175545 4180660 5326970 5890930 6004948 6480023 7506185 8351090 10653940 11781860 12960046 15012370 16513607 16702180 25920092 30024740 32400115 33027214 46538347 64800230 66054428 82568035 93076694 129600460 165136070 186153388 232691735 330272140 465383470 511921817 930766940 1023843634 2047687268 2559609085 5119218170 10238436340