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3411840953135 = 5173143475910859
BaseRepresentation
bin110001101001100001100…
…100010110101100101111
3110002011120001200101111202
4301221201210112230233
5421344422241000020
611131213400240115
7501332412412256
oct61514144265457
913064501611452
103411840953135
1110a5a542a945a
124712a277003b
131b9973387094
14bb1c391579d
155db3a942e75
hex31a61916b2f

3411840953135 has 128 divisors (see below), whose sum is σ = 4756075315200. Its totient is φ = 2336071772160.

The previous prime is 3411840953099. The next prime is 3411840953159. The reversal of 3411840953135 is 5313590481143.

3411840953135 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3411840953135 - 216 = 3411840887599 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a self number, because there is not a number n which added to its sum of digits gives 3411840953135.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 314189336 + ... + 314200194.

It is an arithmetic number, because the mean of its divisors is an integer number (37156838400).

Almost surely, 23411840953135 is an apocalyptic number.

3411840953135 is a deficient number, since it is larger than the sum of its proper divisors (1344234362065).

3411840953135 is a wasteful number, since it uses less digits than its factorization.

3411840953135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11061.

The product of its (nonzero) digits is 777600, while the sum is 47.

The spelling of 3411840953135 in words is "three trillion, four hundred eleven billion, eight hundred forty million, nine hundred fifty-three thousand, one hundred thirty-five".

Divisors: 1 5 17 31 43 47 59 85 155 215 235 295 527 731 799 1003 1333 1457 1829 2021 2537 2635 2773 3655 3995 5015 6665 7285 9145 10105 10859 12685 13865 22661 24769 31093 34357 43129 47141 54295 62651 78647 85963 113305 119239 123845 155465 171785 184603 215645 235705 313255 336629 393235 429815 466937 510373 596195 640681 923015 1065067 1336999 1461371 1683145 2027063 2334685 2551865 3203405 3696409 5325335 5722693 6684995 7306855 7937929 8676341 10135315 10891577 14475047 15821563 18482045 19861111 21946039 27549283 28613465 30112007 39689645 43381705 54457885 62838953 72375235 79107815 99305555 109730195 137746415 150560035 246075799 268966571 314194765 337638887 373082663 468337811 511904119 680327209 854027773 933472217 1230378995 1294816301 1344832855 1688194435 1865413315 2341689055 2559520595 3401636045 4270138865 4667361085 6474081505 11565562553 14518472141 15869027689 22011877117 40139305331 57827812765 72592360705 79345138445 110059385585 200696526655 682368190627 3411840953135