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148390455120 = 24353377332503
BaseRepresentation
bin1000101000110011000…
…0101010011101010000
3112012000120211011101020
42022030300222131100
54412400424030440
6152100350235440
713502153025405
oct2121460523520
9465016734336
10148390455120
1157a285a8276
12249137b5b80
1310cbac8403b
147279ad42ac
153cd76473d0
hex228cc2a750

148390455120 has 160 divisors (see below), whose sum is σ = 462189441792. Its totient is φ = 39383801856.

The previous prime is 148390455079. The next prime is 148390455133. The reversal of 148390455120 is 21554093841.

It is a congruent number.

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, 59283789 + ... + 59286291.

Almost surely, 2148390455120 is an apocalyptic number.

148390455120 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 148390455120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231094720896).

148390455120 is an abundant number, since it is smaller than the sum of its proper divisors (313798986672).

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

148390455120 is a wasteful number, since it uses less digits than its factorization.

148390455120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3589 (or 3583 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 148390455120 in words is "one hundred forty-eight billion, three hundred ninety million, four hundred fifty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 337 674 733 1011 1348 1466 1685 2022 2199 2503 2696 2932 3370 3665 4044 4398 5006 5055 5392 5864 6740 7330 7509 8088 8796 10012 10110 10995 11728 12515 13480 14660 15018 16176 17592 20024 20220 21990 25030 26960 29320 30036 35184 37545 40048 40440 43980 50060 58640 60072 75090 80880 87960 100120 120144 150180 175920 200240 247021 300360 494042 600720 741063 843511 988084 1235105 1482126 1687022 1834699 1976168 2470210 2530533 2964252 3374044 3669398 3705315 3952336 4217555 4940420 5061066 5504097 5928504 6748088 7338796 7410630 8435110 9173495 9880840 10122132 11008194 11857008 12652665 13496176 14677592 14821260 16870220 18346990 19761680 20244264 22016388 25305330 27520485 29355184 29642520 33740440 36693980 40488528 44032776 50610660 55040970 59285040 67480880 73387960 88065552 101221320 110081940 146775920 202442640 220163880 440327760 618293563 1236587126 1854880689 2473174252 3091467815 3709761378 4946348504 6182935630 7419522756 9274403445 9892697008 12365871260 14839045512 18548806890 24731742520 29678091024 37097613780 49463485040 74195227560 148390455120