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148311274336 = 25171931462871
BaseRepresentation
bin1000101000100000001…
…0100111001101100000
3112011211001211100202121
42022020002213031200
54412220141234321
6152044441154024
713500202013551
oct2121002471540
9464731740677
10148311274336
1157997936605
12248b118b914
1310ca774c7c4
14726d3a2328
153cd0706441
hex22880a7360

148311274336 has 96 divisors (see below), whose sum is σ = 335933982720. Its totient is φ = 63987148800.

The previous prime is 148311274327. The next prime is 148311274369. The reversal of 148311274336 is 633472113841.

It is a super-3 number, since 3×1483112743363 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 148311274292 and 148311274301.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 88981 + ... + 551851.

It is an arithmetic number, because the mean of its divisors is an integer number (3499312320).

Almost surely, 2148311274336 is an apocalyptic number.

148311274336 is a gapful number since it is divisible by the number (16) 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 148311274336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167966991360).

148311274336 is an abundant number, since it is smaller than the sum of its proper divisors (187622708384).

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

148311274336 is a wasteful number, since it uses less digits than its factorization.

148311274336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462948 (or 462940 counting only the distinct ones).

The product of its digits is 290304, while the sum is 43.

The spelling of 148311274336 in words is "one hundred forty-eight billion, three hundred eleven million, two hundred seventy-four thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 17 19 31 32 34 38 62 68 76 124 136 152 248 272 304 323 496 527 544 589 608 646 992 1054 1178 1292 2108 2356 2584 4216 4712 5168 8432 9424 10013 10336 16864 18848 20026 40052 80104 160208 320416 462871 925742 1851484 3702968 7405936 7868807 8794549 14349001 14811872 15737614 17589098 28698002 31475228 35178196 57396004 62950456 70356392 114792008 125900912 140712784 149507333 229584016 243933017 251801824 272631019 281425568 299014666 459168032 487866034 545262038 598029332 975732068 1090524076 1196058664 1951464136 2181048152 2392117328 3902928272 4362096304 4634727323 4784234656 7805856544 8724192608 9269454646 18538909292 37077818584 74155637168 148311274336