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34111424052 = 22341719325951
BaseRepresentation
bin11111110001001100…
…110000011000110100
310021001021122212220000
4133301030300120310
51024330011032202
623400502111300
72315212214616
oct376114603064
9107037585800
1034111424052
1113515011852
12673ba1b530
1332a80ca0b4
1419184c4db6
15d49a5d91c
hex7f1330634

34111424052 has 120 divisors (see below), whose sum is σ = 99389283840. Its totient is φ = 10138348800.

The previous prime is 34111423999. The next prime is 34111424059. The reversal of 34111424052 is 25042411143.

34111424052 is a `hidden beast` number, since 3 + 411 + 1 + 4 + 240 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34111424059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 58324 + ... + 267627.

It is an arithmetic number, because the mean of its divisors is an integer number (828244032).

Almost surely, 234111424052 is an apocalyptic number.

It is an amenable number.

34111424052 is an abundant number, since it is smaller than the sum of its proper divisors (65277859788).

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

34111424052 is a wasteful number, since it uses less digits than its factorization.

34111424052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326003 (or 325992 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 34111424052 its reverse (25042411143), we get a palindrome (59153835195).

The spelling of 34111424052 in words is "thirty-four billion, one hundred eleven million, four hundred twenty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 19 27 34 36 38 51 54 57 68 76 81 102 108 114 153 162 171 204 228 306 323 324 342 459 513 612 646 684 918 969 1026 1292 1377 1539 1836 1938 2052 2754 2907 3078 3876 5508 5814 6156 8721 11628 17442 26163 34884 52326 104652 325951 651902 977853 1303804 1955706 2933559 3911412 5541167 5867118 6193069 8800677 11082334 11734236 12386138 16623501 17601354 18579207 22164668 24772276 26402031 33247002 35202708 37158414 49870503 52804062 55737621 66494004 74316828 99741006 105282173 105608124 111475242 149611509 167212863 199482012 210564346 222950484 299223018 315846519 334425726 421128692 448834527 501638589 598446036 631693038 668851452 897669054 947539557 1003277178 1263386076 1795338108 1895079114 2006554356 2842618671 3790158228 5685237342 8527856013 11370474684 17055712026 34111424052