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4991104440 = 233357660199
BaseRepresentation
bin1001010010111111…
…00011010110111000
3110212211122101011000
410221133203112320
540210210320230
62143132405000
7234453454620
oct45137432670
913784571130
104991104440
112131391703
12b73616760
1361706594a
14354c27880
151e329ab60
hex1297e35b8

4991104440 has 128 divisors (see below), whose sum is σ = 19013760000. Its totient is φ = 1140822144.

The previous prime is 4991104429. The next prime is 4991104483. The reversal of 4991104440 is 444011994.

It is a super-2 number, since 2×49911044402 = 49822247061975427200, which contains 22 as substring.

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 = 4991104395 and 4991104404.

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, 322540 + ... + 337659.

It is an arithmetic number, because the mean of its divisors is an integer number (148545000).

Almost surely, 24991104440 is an apocalyptic number.

4991104440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4991104440 is an abundant number, since it is smaller than the sum of its proper divisors (14022655560).

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

4991104440 is a wasteful number, since it uses less digits than its factorization.

4991104440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660226 (or 660216 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4991104440 is about 70647.7490087264. The cubic root of 4991104440 is about 1708.9612651191.

The spelling of 4991104440 in words is "four billion, nine hundred ninety-one million, one hundred four thousand, four hundred forty".

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 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 660199 1320398 1980597 2640796 3300995 3961194 4621393 5281592 5941791 6601990 7922388 9242786 9902985 11883582 13203980 13864179 15844776 17825373 18485572 19805970 23106965 23767164 26407960 27728358 29708955 35650746 36971144 39611940 41592537 46213930 47534328 55456716 59417910 69320895 71301492 79223880 83185074 89126865 92427860 110913432 118835820 124777611 138641790 142602984 166370148 178253730 184855720 207962685 237671640 249555222 277283580 332740296 356507460 415925370 499110444 554567160 623888055 713014920 831850740 998220888 1247776110 1663701480 2495552220 4991104440