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408812114130 = 23572983282913
BaseRepresentation
bin1011111001011110001…
…10011101000011010010
31110002012211010011001020
411330233012131003102
523144221400123010
6511450010220310
741351513430600
oct5745706350322
91402184104036
10408812114130
11148415865152
1267292424696
132c7211b6264
1415b0266a870
15a97a360470
hex5f2f19d0d2

408812114130 has 96 divisors (see below), whose sum is σ = 1142501791104. Its totient is φ = 93347380224.

The previous prime is 408812114129. The next prime is 408812114189. The reversal of 408812114130 is 31411218804.

It is a junction number, because it is equal to n+sod(n) for n = 408812114091 and 408812114100.

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, 1303554 + ... + 1586466.

It is an arithmetic number, because the mean of its divisors is an integer number (11901060324).

Almost surely, 2408812114130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408812114130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571250895552).

408812114130 is an abundant number, since it is smaller than the sum of its proper divisors (733689676974).

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

408812114130 is a wasteful number, since it uses less digits than its factorization.

408812114130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283920 (or 283913 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The spelling of 408812114130 in words is "four hundred eight billion, eight hundred twelve million, one hundred fourteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 983 1470 1966 2949 4915 5898 6881 9830 13762 14745 20643 29490 34405 41286 48167 68810 96334 103215 144501 206430 240835 282913 289002 481670 565826 722505 848739 1414565 1445010 1697478 1980391 2829130 3960782 4243695 5941173 8487390 9901955 11882346 13862737 19803910 27725474 29705865 41588211 59411730 69313685 83176422 138627370 207941055 278103479 415882110 556206958 834310437 1390517395 1668620874 1946724353 2781034790 3893448706 4171552185 5840173059 8343104370 9733621765 11680346118 13627070471 19467243530 27254140942 29200865295 40881211413 58401730590 68135352355 81762422826 136270704710 204406057065 408812114130