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1031441130240 = 2835330781223
BaseRepresentation
bin11110000001001101010…
…11101010001100000000
310122121022220110022220020
433000212223222030000
5113344342412131430
62105500523013440
7134343033643533
oct17004653521400
93577286408806
101031441130240
113684826a0454
12147a9766a280
13763590b0511
1437cca02ca1a
151bc6bb5bb10
hexf026aea300

1031441130240 has 144 divisors (see below), whose sum is σ = 3295201797888. Its totient is φ = 274964410368.

The previous prime is 1031441130221. The next prime is 1031441130277. The reversal of 1031441130240 is 420311441301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1031441130240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12658269 + ... + 12739491.

Almost surely, 21031441130240 is an apocalyptic number.

1031441130240 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 1031441130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647600898944).

1031441130240 is an abundant number, since it is smaller than the sum of its proper divisors (2263760667648).

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

1031441130240 is an equidigital number, since it uses as much as digits as its factorization.

1031441130240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84554 (or 84540 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1031441130240 its reverse (420311441301), we get a palindrome (1451752571541).

The spelling of 1031441130240 in words is "one trillion, thirty-one billion, four hundred forty-one million, one hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3307 3840 6614 9921 13228 16535 19842 26456 33070 39684 49605 52912 66140 79368 81223 99210 105824 132280 158736 162446 198420 211648 243669 264560 317472 324892 396840 406115 423296 487338 529120 634944 649784 793680 812230 846592 974676 1058240 1218345 1269888 1299568 1587360 1624460 1949352 2116480 2436690 2539776 2599136 3174720 3248920 3898704 4232960 4873380 5198272 6349440 6497840 7797408 9746760 10396544 12698880 12995680 15594816 19493520 20793088 25991360 31189632 38987040 51982720 62379264 77974080 103965440 155948160 268604461 311896320 537208922 805813383 1074417844 1343022305 1611626766 2148835688 2686044610 3223253532 4029066915 4297671376 5372089220 6446507064 8058133830 8595342752 10744178440 12893014128 16116267660 17190685504 21488356880 25786028256 32232535320 34381371008 42976713760 51572056512 64465070640 68762742016 85953427520 103144113024 128930141280 171906855040 206288226048 257860282560 343813710080 515720565120 1031441130240