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330481148040 = 23335378270299
BaseRepresentation
bin1001100111100100011…
…01100010000010001000
31011121000210120210011000
410303302031202002020
520403311133214130
6411453153535000
732606426260221
oct4636215420210
91147023523130
10330481148040
11118179aa0a3a
1254071574460
1325219aa8094
1411dd1436248
1588e367a260
hex4cf2362088

330481148040 has 128 divisors (see below), whose sum is σ = 1131377040000. Its totient is φ = 85746449664.

The previous prime is 330481148017. The next prime is 330481148071. The reversal of 330481148040 is 40841184033.

330481148040 is a `hidden beast` number, since 3 + 30 + 481 + 148 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 330481147986 and 330481148004.

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, 4095190 + ... + 4175109.

It is an arithmetic number, because the mean of its divisors is an integer number (8838883125).

Almost surely, 2330481148040 is an apocalyptic number.

330481148040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330481148040 is an abundant number, since it is smaller than the sum of its proper divisors (800895891960).

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

330481148040 is a wasteful number, since it uses less digits than its factorization.

330481148040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8270356 (or 8270346 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 330481148040 in words is "three hundred thirty billion, four hundred eighty-one million, one hundred forty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 37 40 45 54 60 72 74 90 108 111 120 135 148 180 185 216 222 270 296 333 360 370 444 540 555 666 740 888 999 1080 1110 1332 1480 1665 1998 2220 2664 3330 3996 4440 4995 6660 7992 9990 13320 19980 39960 8270299 16540598 24810897 33081196 41351495 49621794 66162392 74432691 82702990 99243588 124054485 148865382 165405980 198487176 223298073 248108970 297730764 306001063 330811960 372163455 446596146 496217940 595461528 612002126 744326910 893192292 918003189 992435880 1116490365 1224004252 1488653820 1530005315 1786384584 1836006378 2232980730 2448008504 2754009567 2977307640 3060010630 3672012756 4465961460 4590015945 5508019134 6120021260 7344025512 8262028701 8931922920 9180031890 11016038268 12240042520 13770047835 16524057402 18360063780 22032076536 27540095670 33048114804 36720127560 41310143505 55080191340 66096229608 82620287010 110160382680 165240574020 330481148040