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2102465440374 = 2313471935935011
BaseRepresentation
bin11110100110000100101…
…101001010101001110110
321102222211102122112121020
4132212010231022221312
5233421322123042444
64245505335002010
7304620024243255
oct36460455125166
97388742575536
102102465440374
11740717a25812
1229b57b509306
13123352a92a70
1473a8d12679c
1539a538b8119
hex1e984b4aa76

2102465440374 has 128 divisors (see below), whose sum is σ = 4657466677248. Its totient is φ = 628680130560.

The previous prime is 2102465440351. The next prime is 2102465440393. The reversal of 2102465440374 is 4730445642012.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 419567529 + ... + 419572539.

It is an arithmetic number, because the mean of its divisors is an integer number (36386458416).

Almost surely, 22102465440374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102465440374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2328733338624).

2102465440374 is an abundant number, since it is smaller than the sum of its proper divisors (2555001236874).

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

2102465440374 is a wasteful number, since it uses less digits than its factorization.

2102465440374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5862.

The product of its (nonzero) digits is 645120, while the sum is 42.

The spelling of 2102465440374 in words is "two trillion, one hundred two billion, four hundred sixty-five million, four hundred forty thousand, three hundred seventy-four".

Divisors: 1 2 3 6 13 26 39 47 78 94 141 193 282 386 579 593 611 1158 1186 1222 1779 1833 2509 3558 3666 5011 5018 7527 7709 9071 10022 15033 15054 15418 18142 23127 27213 27871 30066 46254 54426 55742 65143 83613 114449 117923 130286 167226 195429 228898 235517 235846 343347 353769 362323 390858 471034 686694 706551 707538 724646 967123 1086969 1413102 1487837 1934246 2173938 2901369 2971523 2975674 3061721 4463511 5379103 5802738 5943046 6123442 8914569 8927022 9185163 10758206 12572599 16137309 17829138 18370326 25145198 32274618 37717797 38629799 45454781 69928339 75435594 77259598 90909562 115889397 136364343 139661581 139856678 209785017 231778794 272728686 279323162 418984743 419570034 573503939 590912153 837969486 1147007878 1181824306 1720511817 1772736459 1815600553 3441023634 3545472918 3631201106 5446801659 7455551207 10893603318 14911102414 22366653621 26954685133 44733307242 53909370266 80864055399 161728110798 350410906729 700821813458 1051232720187 2102465440374