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3104430042120 = 23351113916919719
BaseRepresentation
bin101101001011001110011…
…100110010110000001000
3101222210002001211002000220
4231023032130302300020
5401330333042321440
610334053325430040
7440200445653221
oct55131634626010
911883061732026
103104430042120
11a97643910010
124217ab40b320
13196992090834
14aa380452248
1555b4784d8d0
hex2d2ce732c08

3104430042120 has 128 divisors (see below), whose sum is σ = 10233046656000. Its totient is φ = 747174746880.

The previous prime is 3104430042107. The next prime is 3104430042179. The reversal of 3104430042120 is 212400344013.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 8276380 + ... + 8643339.

It is an arithmetic number, because the mean of its divisors is an integer number (79945677000).

Almost surely, 23104430042120 is an apocalyptic number.

3104430042120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3104430042120 is an abundant number, since it is smaller than the sum of its proper divisors (7128616613880).

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

3104430042120 is a wasteful number, since it uses less digits than its factorization.

3104430042120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16919883 (or 16919879 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 3104430042120 its reverse (212400344013), we get a palindrome (3316830386133).

The spelling of 3104430042120 in words is "three trillion, one hundred four billion, four hundred thirty million, forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 139 165 220 264 278 330 417 440 556 660 695 834 1112 1320 1390 1529 1668 2085 2780 3058 3336 4170 4587 5560 6116 7645 8340 9174 12232 15290 16680 18348 22935 30580 36696 45870 61160 91740 183480 16919719 33839438 50759157 67678876 84598595 101518314 135357752 169197190 186116909 203036628 253795785 338394380 372233818 406073256 507591570 558350727 676788760 744467636 930584545 1015183140 1116701454 1488935272 1861169090 2030366280 2233402908 2351840941 2791753635 3722338180 4466805816 4703681882 5583507270 7055522823 7444676360 9407363764 11167014540 11759204705 14111045646 18814727528 22334029080 23518409410 25870250351 28222091292 35277614115 47036818820 51740500702 56444182584 70555228230 77610751053 94073637640 103481001404 129351251755 141110456460 155221502106 206962002808 258702503510 282220912920 310443004212 388053755265 517405007020 620886008424 776107510530 1034810014040 1552215021060 3104430042120