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1225731942480 = 243531571288527
BaseRepresentation
bin10001110101100011010…
…100010010100001010000
311100011211100220020010010
4101311203110102201100
5130040244334124410
62335032105234520
7154361531414343
oct21654324224120
94304740806103
101225731942480
114329147aa361
1217967b192a40
138b780665786
144347bba245a
1521d3dc8ec20
hex11d63512850

1225731942480 has 160 divisors (see below), whose sum is σ = 3929225084928. Its totient is φ = 315762854400.

The previous prime is 1225731942433. The next prime is 1225731942529. The reversal of 1225731942480 is 842491375221.

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

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, 4103977 + ... + 4392503.

Almost surely, 21225731942480 is an apocalyptic number.

1225731942480 is a gapful number since it is divisible by the number (10) 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 1225731942480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964612542464).

1225731942480 is an abundant number, since it is smaller than the sum of its proper divisors (2703493142448).

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

1225731942480 is a wasteful number, since it uses less digits than its factorization.

1225731942480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289145 (or 289139 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 1225731942480 in words is "one trillion, two hundred twenty-five billion, seven hundred thirty-one million, nine hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 571 620 744 930 1142 1240 1488 1713 1860 2284 2480 2855 3426 3720 4568 5710 6852 7440 8565 9136 11420 13704 17130 17701 22840 27408 34260 35402 45680 53103 68520 70804 88505 106206 137040 141608 177010 212412 265515 283216 288527 354020 424824 531030 577054 708040 849648 865581 1062060 1154108 1416080 1442635 1731162 2124120 2308216 2885270 3462324 4248240 4327905 4616432 5770540 6924648 8655810 8944337 11541080 13849296 17311620 17888674 23082160 26833011 34623240 35777348 44721685 53666022 69246480 71554696 89443370 107332044 134165055 143109392 164748917 178886740 214664088 268330110 329497834 357773480 429328176 494246751 536660220 658995668 715546960 823744585 988493502 1073320440 1317991336 1647489170 1976987004 2146640880 2471233755 2635982672 3294978340 3953974008 4942467510 5107216427 6589956680 7907948016 9884935020 10214432854 13179913360 15321649281 19769870040 20428865708 25536082135 30643298562 39539740080 40857731416 51072164270 61286597124 76608246405 81715462832 102144328540 122573194248 153216492810 204288657080 245146388496 306432985620 408577314160 612865971240 1225731942480