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34993221480 = 2334571542911
BaseRepresentation
bin100000100101110000…
…100010111101101000
310100022201220211120000
4200211300202331220
51033131231041410
624024202103000
72346110321610
oct404560427550
9110281824500
1034993221480
1113927841258
1269471aaa60
1333b89bc519
14199d663a40
15d9c191dc0
hex825c22f68

34993221480 has 160 divisors (see below), whose sum is σ = 134418493440. Its totient is φ = 7998445440.

The previous prime is 34993221457. The next prime is 34993221493. The reversal of 34993221480 is 8412239943.

34993221480 is a `hidden beast` number, since 34 + 99 + 32 + 21 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 748776 + ... + 794135.

It is an arithmetic number, because the mean of its divisors is an integer number (840115584).

Almost surely, 234993221480 is an apocalyptic number.

34993221480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34993221480 is an abundant number, since it is smaller than the sum of its proper divisors (99425271960).

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

34993221480 is a wasteful number, since it uses less digits than its factorization.

34993221480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542941 (or 1542928 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 34993221480 in words is "thirty-four billion, nine hundred ninety-three million, two hundred twenty-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 252 270 280 315 324 360 378 405 420 504 540 567 630 648 756 810 840 945 1080 1134 1260 1512 1620 1890 2268 2520 2835 3240 3780 4536 5670 7560 11340 22680 1542911 3085822 4628733 6171644 7714555 9257466 10800377 12343288 13886199 15429110 18514932 21600754 23143665 27772398 30858220 32401131 37029864 41658597 43201508 46287330 54001885 55544796 61716440 64802262 69430995 83317194 86403016 92574660 97203393 108003770 111089592 124975791 129604524 138861990 162005655 166634388 185149320 194406786 208292985 216007540 249951582 259209048 277723980 291610179 324011310 333268776 388813572 416585970 432015080 486016965 499903164 555447960 583220358 624878955 648022620 777627144 833171940 874830537 972033930 999806328 1166440716 1249757910 1296045240 1458050895 1666343880 1749661074 1944067860 2332881432 2499515820 2916101790 3499322148 3888135720 4374152685 4999031640 5832203580 6998644296 8748305370 11664407160 17496610740 34993221480