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148932080440 = 235112132367007
BaseRepresentation
bin1000101010110100001…
…0110011001100111000
3112020102022222120122021
42022231002303030320
54420003103033230
6152230215204224
713521450540103
oct2125502631470
9466368876567
10148932080440
1158186305400
1224a45076674
13110762516b0
1472cba0373a
153d19e83c7a
hex22ad0b3338

148932080440 has 96 divisors (see below), whose sum is σ = 396663200640. Its totient is φ = 49991166720.

The previous prime is 148932080411. The next prime is 148932080477. The reversal of 148932080440 is 44080239841.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1120584 + ... + 1246423.

It is an arithmetic number, because the mean of its divisors is an integer number (4131908340).

Almost surely, 2148932080440 is an apocalyptic number.

148932080440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

148932080440 is an abundant number, since it is smaller than the sum of its proper divisors (247731120200).

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

148932080440 is a wasteful number, since it uses less digits than its factorization.

148932080440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2367053 (or 2367038 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The spelling of 148932080440 in words is "one hundred forty-eight billion, nine hundred thirty-two million, eighty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 121 130 143 220 242 260 286 440 484 520 572 605 715 968 1144 1210 1430 1573 2420 2860 3146 4840 5720 6292 7865 12584 15730 31460 62920 2367007 4734014 9468028 11835035 18936056 23670070 26037077 30771091 47340140 52074154 61542182 94680280 104148308 123084364 130185385 153855455 208296616 246168728 260370770 286407847 307710910 338482001 520741540 572815694 615421820 676964002 1041483080 1145631388 1230843640 1353928004 1432039235 1692410005 2291262776 2707856008 2864078470 3384820010 3723302011 5728156940 6769640020 7446604022 11456313880 13539280040 14893208044 18616510055 29786416088 37233020110 74466040220 148932080440