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4114743516 = 22331323127423
BaseRepresentation
bin1111010101000010…
…0000000011011100
3101121202121121222000
43311100200003130
531411333243031
61520145122300
7203652512532
oct36520400334
911552547860
104114743516
111821735784
1296a029390
13507627ba0
142b06a2152
1519138d3e6
hexf54200dc

4114743516 has 96 divisors (see below), whose sum is σ = 11988049920. Its totient is φ = 1211018688.

The previous prime is 4114743511. The next prime is 4114743527. The reversal of 4114743516 is 6153474114.

It is a super-2 number, since 2×41147435162 = 33862228404928084512, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4114743511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31420 + ... + 96003.

It is an arithmetic number, because the mean of its divisors is an integer number (124875520).

Almost surely, 24114743516 is an apocalyptic number.

4114743516 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

4114743516 is an abundant number, since it is smaller than the sum of its proper divisors (7873306404).

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

4114743516 is a wasteful number, since it uses less digits than its factorization.

4114743516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127472 (or 127464 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 4114743516 is about 64146.2665788119. The cubic root of 4114743516 is about 1602.4368487002.

The spelling of 4114743516 in words is "four billion, one hundred fourteen million, seven hundred forty-three thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 27 36 39 46 52 54 69 78 92 108 117 138 156 207 234 276 299 351 414 468 598 621 702 828 897 1196 1242 1404 1794 2484 2691 3588 5382 8073 10764 16146 32292 127423 254846 382269 509692 764538 1146807 1529076 1656499 2293614 2930729 3312998 3440421 4587228 4969497 5861458 6625996 6880842 8792187 9938994 11722916 13761684 14908491 17584374 19877988 26376561 29816982 35168748 38099477 44725473 52753122 59633964 76198954 79129683 89450946 105506244 114298431 152397908 158259366 178901892 228596862 316518732 342895293 457193724 685790586 1028685879 1371581172 2057371758 4114743516