Search a number
-
+
1414176840 = 233351968917
BaseRepresentation
bin101010001001010…
…1010000001001000
310122120000121221000
41110102222001020
510344012124330
6352154415000
750021206356
oct12422520110
93576017830
101414176840
116662a1a9a
12335731460
13196ca353b
14d5b627d6
1584245560
hex544aa048

1414176840 has 128 divisors (see below), whose sum is σ = 4962096000. Its totient is φ = 357260544.

The previous prime is 1414176823. The next prime is 1414176853. The reversal of 1414176840 is 486714141.

1414176840 is a `hidden beast` number, since 141 + 417 + 68 + 40 = 666.

It is a super-2 number, since 2×14141768402 = 3999792269584771200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1414176795 and 1414176804.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13939 + ... + 54978.

It is an arithmetic number, because the mean of its divisors is an integer number (38766375).

Almost surely, 21414176840 is an apocalyptic number.

1414176840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1414176840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2481048000).

1414176840 is an abundant number, since it is smaller than the sum of its proper divisors (3547919160).

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

1414176840 is a wasteful number, since it uses less digits than its factorization.

1414176840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68956 (or 68946 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1414176840 is about 37605.5426765789. The cubic root of 1414176840 is about 1122.4523327030.

The spelling of 1414176840 in words is "one billion, four hundred fourteen million, one hundred seventy-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 90 95 108 114 120 135 152 171 180 190 216 228 270 285 342 360 380 456 513 540 570 684 760 855 1026 1080 1140 1368 1710 2052 2280 2565 3420 4104 5130 6840 10260 20520 68917 137834 206751 275668 344585 413502 551336 620253 689170 827004 1033755 1240506 1309423 1378340 1654008 1860759 2067510 2481012 2618846 2756680 3101265 3721518 3928269 4135020 4962024 5237692 6202530 6547115 7443036 7856538 8270040 9303795 10475384 11784807 12405060 13094230 14886072 15713076 18607590 19641345 23569614 24810120 26188460 31426152 35354421 37215180 39282690 47139228 52376920 58924035 70708842 74430360 78565380 94278456 117848070 141417684 157130760 176772105 235696140 282835368 353544210 471392280 707088420 1414176840