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34402859150 = 25211231533461
BaseRepresentation
bin100000000010100100…
…011111100010001110
310021210121001022200112
4200002210133202032
51030424112443100
623445432400022
72325351322622
oct400244374216
9107717038615
1034402859150
1113654576300
126801546012
1333235b95ba
1419450a9182
15d65429b35
hex80291f88e

34402859150 has 144 divisors (see below), whose sum is σ = 73995513984. Its totient is φ = 11874720000.

The previous prime is 34402859137. The next prime is 34402859159. The reversal of 34402859150 is 5195820443.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34402859098 and 34402859107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34402859159) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9938420 + ... + 9941880.

It is an arithmetic number, because the mean of its divisors is an integer number (513857736).

Almost surely, 234402859150 is an apocalyptic number.

34402859150 is an abundant number, since it is smaller than the sum of its proper divisors (39592654834).

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

34402859150 is a wasteful number, since it uses less digits than its factorization.

34402859150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3579 (or 3563 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

The spelling of 34402859150 in words is "thirty-four billion, four hundred two million, eight hundred fifty-nine thousand, one hundred fifty".

Divisors: 1 2 5 10 11 22 25 31 50 53 55 62 106 110 121 155 242 265 275 310 341 530 550 583 605 682 775 1166 1210 1325 1550 1643 1705 2650 2915 3025 3286 3410 3461 3751 5830 6050 6413 6922 7502 8215 8525 12826 14575 16430 17050 17305 18073 18755 29150 32065 34610 36146 37510 38071 41075 64130 76142 82150 86525 90365 93775 107291 160325 173050 180730 183433 187550 190355 198803 214582 320650 366866 380710 397606 418781 451825 536455 837562 903650 917165 951775 994015 1072910 1180201 1834330 1903550 1988030 2017763 2093905 2360402 2682275 4035526 4187810 4585825 4970075 5364550 5686423 5901005 9171650 9940150 10088815 10469525 11372846 11802010 12982211 20177630 20939050 22195393 25964422 28432115 29505025 44390786 50444075 56864230 59010050 62550653 64911055 100888150 110976965 125101306 129822110 142160575 221953930 284321150 312753265 324555275 554884825 625506530 649110550 688057183 1109769650 1376114366 1563766325 3127532650 3440285915 6880571830 17201429575 34402859150