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148730348240 = 24523593733673
BaseRepresentation
bin1000101010000100000…
…1010000001011010000
3112012220021101112002022
42022201001100023100
54414044432120430
6152154211311012
713513451046425
oct2124101201320
9465807345068
10148730348240
1158092449a81
12249a95ab468
131104350bb26
1472acccdd4c
153d073d64e5
hex22a10502d0

148730348240 has 160 divisors (see below), whose sum is σ = 368032515840. Its totient is φ = 55775858688.

The previous prime is 148730348209. The next prime is 148730348251. The reversal of 148730348240 is 42843037841.

It is a junction number, because it is equal to n+sod(n) for n = 148730348191 and 148730348200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40491044 + ... + 40494716.

It is an arithmetic number, because the mean of its divisors is an integer number (2300203224).

Almost surely, 2148730348240 is an apocalyptic number.

148730348240 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 148730348240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184016257920).

148730348240 is an abundant number, since it is smaller than the sum of its proper divisors (219302167600).

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

148730348240 is a wasteful number, since it uses less digits than its factorization.

148730348240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4141 (or 4135 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 44.

The spelling of 148730348240 in words is "one hundred forty-eight billion, seven hundred thirty million, three hundred forty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 59 80 92 115 118 184 230 236 295 368 373 460 472 590 746 920 944 1180 1357 1492 1840 1865 2360 2714 2984 3673 3730 4720 5428 5968 6785 7346 7460 8579 10856 13570 14692 14920 17158 18365 21712 22007 27140 29384 29840 34316 36730 42895 44014 54280 58768 68632 73460 84479 85790 88028 108560 110035 137264 146920 168958 171580 176056 216707 220070 293840 337916 343160 352112 422395 433414 440140 506161 675832 686320 844790 866828 880280 1012322 1083535 1351664 1370029 1689580 1733656 1760560 2024644 2167070 2530805 2740058 3379160 3467312 4049288 4334140 4984261 5061610 5480116 6758320 6850145 8098576 8668280 9968522 10123220 10960232 13700290 17336560 19937044 20246440 21920464 24921305 27400580 31510667 39874088 40492880 49842610 54801160 63021334 79748176 80831711 99685220 109602320 126042668 157553335 161663422 199370440 252085336 315106670 323326844 398740880 404158555 504170672 630213340 646653688 808317110 1260426680 1293307376 1616634220 1859129353 2520853360 3233268440 3718258706 6466536880 7436517412 9295646765 14873034824 18591293530 29746069648 37182587060 74365174120 148730348240