Search a number
-
+
6261960840240 = 2435711813156103
BaseRepresentation
bin101101100011111100111…
…1100111001010000110000
3211011122012211002001021110
41123013321330321100300
51310043443433341430
621152412144553320
71214261140626240
oct133077174712060
924148184061243
106261960840240
111aa4756710a36
1285173a022840
13365667422241
1417911ad47b20
15acd4bd897b0
hex5b1f9f39430

6261960840240 has 160 divisors (see below), whose sum is σ = 22204024851456. Its totient is φ = 1430092938240.

The previous prime is 6261960840167. The next prime is 6261960840257. The reversal of 6261960840240 is 420480691626.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6261960840240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 406029 + ... + 3562131.

Almost surely, 26261960840240 is an apocalyptic number.

6261960840240 is a gapful number since it is divisible by the number (60) 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 6261960840240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11102012425728).

6261960840240 is an abundant number, since it is smaller than the sum of its proper divisors (15942064011216).

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

6261960840240 is a wasteful number, since it uses less digits than its factorization.

6261960840240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3157307 (or 3157301 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 6261960840240 in words is "six trillion, two hundred sixty-one billion, nine hundred sixty million, eight hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1181 1680 2362 3543 4724 5905 7086 8267 9448 11810 14172 16534 17715 18896 23620 24801 28344 33068 35430 41335 47240 49602 56688 66136 70860 82670 94480 99204 124005 132272 141720 165340 198408 248010 283440 330680 396816 496020 661360 992040 1984080 3156103 6312206 9468309 12624412 15780515 18936618 22092721 25248824 31561030 37873236 44185442 47341545 50497648 63122060 66278163 75746472 88370884 94683090 110463605 126244120 132556326 151492944 176741768 189366180 220927210 252488240 265112652 331390815 353483536 378732360 441854420 530225304 662781630 757464720 883708840 1060450608 1325563260 1767417680 2651126520 3727357643 5302253040 7454715286 11182072929 14909430572 18636788215 22364145858 26091503501 29818861144 37273576430 44728291716 52183007002 55910364645 59637722288 74547152860 78274510503 89456583432 104366014004 111820729290 130457517505 149094305720 156549021006 178913166864 208732028008 223641458580 260915035010 298188611440 313098042012 391372552515 417464056016 447282917160 521830070020 626196084024 782745105030 894565834320 1043660140040 1252392168048 1565490210060 2087320280080 3130980420120 6261960840240