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4314064920 = 23351123142097
BaseRepresentation
bin1000000010010001…
…10110100000011000
3102010122200012112020
410001020312200120
532313400034140
61552025214440
7211622642514
oct40110664030
912118605466
104314064920
1119141a4910
12a04931420
13539a05349
142ccd49144
151a3b116d0
hex101236818

4314064920 has 128 divisors (see below), whose sum is σ = 14732720640. Its totient is φ = 1000355840.

The previous prime is 4314064907. The next prime is 4314064927. The reversal of 4314064920 is 294604134.

It is a super-2 number, since 2×43140649202 = 37222312267949212800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4314064927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40689 + ... + 101408.

It is an arithmetic number, because the mean of its divisors is an integer number (115099380).

Almost surely, 24314064920 is an apocalyptic number.

4314064920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4314064920 is an abundant number, since it is smaller than the sum of its proper divisors (10418655720).

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

4314064920 is a wasteful number, since it uses less digits than its factorization.

4314064920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142145 (or 142141 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 4314064920 is about 65681.5416993237. The cubic root of 4314064920 is about 1627.9043815723.

The spelling of 4314064920 in words is "four billion, three hundred fourteen million, sixty-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 23 24 30 33 40 44 46 55 60 66 69 88 92 110 115 120 132 138 165 184 220 230 253 264 276 330 345 440 460 506 552 660 690 759 920 1012 1265 1320 1380 1518 2024 2530 2760 3036 3795 5060 6072 7590 10120 15180 30360 142097 284194 426291 568388 710485 852582 1136776 1420970 1563067 1705164 2131455 2841940 3126134 3268231 3410328 4262910 4689201 5683880 6252268 6536462 7815335 8525820 9378402 9804693 12504536 13072924 15630670 16341155 17051640 18756804 19609386 23446005 26145848 31261340 32682310 35950541 37513608 39218772 46892010 49023465 62522680 65364620 71901082 78437544 93784020 98046930 107851623 130729240 143802164 179752705 187568040 196093860 215703246 287604328 359505410 392187720 431406492 539258115 719010820 862812984 1078516230 1438021640 2157032460 4314064920