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34123541004 = 2234722149379
BaseRepresentation
bin11111110001111010…
…111110101000001100
310021002010110111020000
4133301322332220030
51024341111303004
623402013524300
72315420212200
oct376172765014
9107063414200
1034123541004
1113520938463
126743aa3690
1332aa7803a7
141919d5ab00
15d4ab53c39
hex7f1ebea0c

34123541004 has 90 divisors (see below), whose sum is σ = 103769917020. Its totient is φ = 9749578608.

The previous prime is 34123540993. The next prime is 34123541029. The reversal of 34123541004 is 40014532143.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1058814 + ... + 1090565.

It is an arithmetic number, because the mean of its divisors is an integer number (1152999078).

Almost surely, 234123541004 is an apocalyptic number.

It is an amenable number.

34123541004 is an abundant number, since it is smaller than the sum of its proper divisors (69646376016).

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

34123541004 is a wasteful number, since it uses less digits than its factorization.

34123541004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149409 (or 2149391 counting only the distinct ones).

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

The spelling of 34123541004 in words is "thirty-four billion, one hundred twenty-three million, five hundred forty-one thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1764 2268 2646 3969 5292 7938 15876 2149379 4298758 6448137 8597516 12896274 15045653 19344411 25792548 30091306 38688822 45136959 58033233 60182612 77377644 90273918 105319571 116066466 135410877 174099699 180547836 210639142 232132932 270821754 315958713 348199398 406232631 421278284 541643508 631917426 696398796 812465262 947876139 1218697893 1263834852 1624930524 1895752278 2437395786 2843628417 3791504556 4874791572 5687256834 8530885251 11374513668 17061770502 34123541004