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1031440013244 = 223510741923669
BaseRepresentation
bin11110000001001101001…
…11011001011110111100
310122121022211100120200000
433000212213121132330
5113344342120410434
62105500443034300
7134343021312144
oct17004647313674
93577284316600
101031440013244
11368481aa8213
12147a9720b990
1376358aabc84
1437cc9c1b924
151bc6b9dab99
hexf0269d97bc

1031440013244 has 144 divisors (see below), whose sum is σ = 2735714217600. Its totient is φ = 339772885056.

The previous prime is 1031440013239. The next prime is 1031440013327. The reversal of 1031440013244 is 4423100441301.

1031440013244 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 4 + 400 + 13 + 244 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43565842 + ... + 43589510.

It is an arithmetic number, because the mean of its divisors is an integer number (18998015400).

Almost surely, 21031440013244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1031440013244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367857108800).

1031440013244 is an abundant number, since it is smaller than the sum of its proper divisors (1704274204356).

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

1031440013244 is a wasteful number, since it uses less digits than its factorization.

1031440013244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24214 (or 24200 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1031440013244 its reverse (4423100441301), we get a palindrome (5454540454545).

The spelling of 1031440013244 in words is "one trillion, thirty-one billion, four hundred forty million, thirteen thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 107 108 162 214 243 321 324 419 428 486 642 838 963 972 1257 1284 1676 1926 2514 2889 3771 3852 5028 5778 7542 8667 11313 11556 15084 17334 22626 23669 26001 33939 34668 44833 45252 47338 52002 67878 71007 89666 94676 101817 104004 134499 135756 142014 179332 203634 213021 268998 284028 403497 407268 426042 537996 639063 806994 852084 1210491 1278126 1613988 1917189 2420982 2532583 2556252 3631473 3834378 4841964 5065166 5751567 7262946 7597749 7668756 9917311 10130332 10894419 11503134 14525892 15195498 19834622 21788838 22793247 23006268 29751933 30390996 39669244 43577676 45586494 59503866 68379741 89255799 91172988 119007732 136759482 178511598 205139223 267767397 273518964 357023196 410278446 535534794 615417669 803302191 820556892 1061152277 1071069588 1230835338 1606604382 2122304554 2409906573 2461670676 3183456831 3213208764 4244609108 4819813146 6366913662 9550370493 9639626292 12733827324 19100740986 28651111479 38201481972 57302222958 85953334437 114604445916 171906668874 257860003311 343813337748 515720006622 1031440013244