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36431350340 = 22571122974159
BaseRepresentation
bin100001111011011110…
…100100101001000100
310111000222000100110212
4201323132210221010
51044102411202330
624423014134552
72426542240250
oct417336445104
9114028010425
1036431350340
11144a5602800
127088951458
13358792ac48
141a9865d260
15e33569295
hex87b7a4a44

36431350340 has 144 divisors (see below), whose sum is σ = 99421862400. Its totient is φ = 10963518720.

The previous prime is 36431350327. The next prime is 36431350349. The reversal of 36431350340 is 4305313463.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 36431350297 and 36431350306.

It is not an unprimeable number, because it can be changed into a prime (36431350349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 454181 + ... + 528339.

It is an arithmetic number, because the mean of its divisors is an integer number (690429600).

Almost surely, 236431350340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36431350340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49710931200).

36431350340 is an abundant number, since it is smaller than the sum of its proper divisors (62990512060).

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

36431350340 is a wasteful number, since it uses less digits than its factorization.

36431350340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74226 (or 74213 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 32.

The spelling of 36431350340 in words is "thirty-six billion, four hundred thirty-one million, three hundred fifty thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 29 35 44 55 58 70 77 110 116 121 140 145 154 203 220 242 290 308 319 385 406 484 580 605 638 770 812 847 1015 1210 1276 1540 1595 1694 2030 2233 2420 3190 3388 3509 4060 4235 4466 6380 7018 8470 8932 11165 14036 16940 17545 22330 24563 35090 44660 49126 70180 74159 98252 122815 148318 245630 296636 370795 491260 519113 741590 815749 1038226 1483180 1631498 2076452 2150611 2595565 3262996 4078745 4301222 5191130 5710243 8157490 8602444 8973239 10382260 10753055 11420486 15054277 16314980 17946478 21506110 22840972 23656721 28551215 30108554 35892956 43012220 44866195 47313442 57102430 60217108 62812673 75271385 89732390 94626884 114204860 118283605 125625346 150542770 165597047 179464780 236567210 251250692 260223931 301085540 314063365 331194094 473134420 520447862 628126730 662388188 827985235 1040895724 1256253460 1301119655 1655970470 1821567517 2602239310 3311940940 3643135034 5204478620 7286270068 9107837585 18215675170 36431350340