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1354530022240 = 25537838727281
BaseRepresentation
bin10011101101100000010…
…001111110001101100000
311210111021112012121010111
4103231200101332031200
5134143034141202430
62514132411141104
7166601342135143
oct23554021761540
94714245177114
101354530022240
114824a8980a7a
1219a625444794
139a968522aa5
14497b979c05a
152537b338c2a
hex13b6047e360

1354530022240 has 96 divisors (see below), whose sum is σ = 3287078099424. Its totient is φ = 527086264320.

The previous prime is 1354530022207. The next prime is 1354530022247. The reversal of 1354530022240 is 422200354531.

It is a super-2 number, since 2×13545300222402 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1354530022247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49637400 + ... + 49664680.

It is an arithmetic number, because the mean of its divisors is an integer number (34240396869).

Almost surely, 21354530022240 is an apocalyptic number.

1354530022240 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 1354530022240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643539049712).

1354530022240 is an abundant number, since it is smaller than the sum of its proper divisors (1932548077184).

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

1354530022240 is a wasteful number, since it uses less digits than its factorization.

1354530022240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35720 (or 35712 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

Adding to 1354530022240 its reverse (422200354531), we get a palindrome (1776730376771).

The spelling of 1354530022240 in words is "one trillion, three hundred fifty-four billion, five hundred thirty million, twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 1184 1480 2960 5920 8387 16774 27281 33548 41935 54562 67096 83870 109124 134192 136405 167740 218248 268384 272810 310319 335480 436496 545620 620638 670960 872992 1009397 1091240 1241276 1341920 1551595 2018794 2182480 2482552 3103190 4037588 4364960 4965104 5046985 6206380 8075176 9930208 10093970 12412760 16150352 20187940 24825520 32300704 40375880 49651040 80751760 161503520 228805747 457611494 915222988 1144028735 1830445976 2288057470 3660891952 4576114940 7321783904 8465812639 9152229880 16931625278 18304459760 33863250556 36608919520 42329063195 67726501112 84658126390 135453002224 169316252780 270906004448 338632505560 677265011120 1354530022240