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1010445141342 = 2371322957114153
BaseRepresentation
bin11101011010000110011…
…10010100010101011110
310120121010122210120201210
432231003032110111132
5113023342424010332
62052105254045250
7133000525663110
oct16550316242536
93517118716653
101010445141342
1135a588a3820a
121439b8049826
1374391271350
1436c977613b0
151b43d752ecc
hexeb4339455e

1010445141342 has 128 divisors (see below), whose sum is σ = 2502662722560. Its totient is φ = 264843924480.

The previous prime is 1010445141311. The next prime is 1010445141359. The reversal of 1010445141342 is 2431415440101.

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, 71387338 + ... + 71401490.

It is an arithmetic number, because the mean of its divisors is an integer number (19552052520).

Almost surely, 21010445141342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010445141342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251331361280).

1010445141342 is an abundant number, since it is smaller than the sum of its proper divisors (1492217581218).

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

1010445141342 is a wasteful number, since it uses less digits than its factorization.

1010445141342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14978.

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 1010445141342 in words is "one trillion, ten billion, four hundred forty-five million, one hundred forty-one thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 229 273 458 546 571 687 1142 1374 1603 1713 2977 3206 3426 3997 4809 5954 7423 7994 8931 9618 11991 14153 14846 17862 20839 22269 23982 28306 41678 42459 44538 51961 62517 84918 99071 103922 125034 130759 155883 183989 198142 261518 297213 311766 367978 392277 551967 594426 784554 915313 1103934 1287923 1699867 1830626 2575846 2745939 3241037 3399734 3863769 5099601 5491878 6482074 7727538 8081363 9723111 10199202 11899069 16162726 19446222 22687259 23798138 24244089 35697207 42133481 45374518 48488178 56569541 68061777 71394414 84266962 105057719 113139082 126400443 136123554 169708623 210115438 252800886 294934367 315173157 339417246 589868734 630346314 735404033 884803101 1470808066 1769606202 1850632127 2206212099 3701264254 4412424198 5551896381 11103792762 12954424889 24058217651 25908849778 38863274667 48116435302 72174652953 77726549334 144349305906 168407523557 336815047114 505222570671 1010445141342