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1012341514404 = 2231131521474847
BaseRepresentation
bin11101011101101000100…
…00011010000010100100
310120210000211011022112010
432232310100122002210
5113041233411430104
62053021355554220
7133065523615413
oct16566420320244
93523024138463
101012341514404
11360371436380
1214424715b970
137460410509c
1436dd756347a
151b4eee96489
hexebb441a0a4

1012341514404 has 96 divisors (see below), whose sum is σ = 2665105293312. Its totient is φ = 296303904000.

The previous prime is 1012341514369. The next prime is 1012341514417. The reversal of 1012341514404 is 4044151432101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1894509 + ... + 2369355.

It is an arithmetic number, because the mean of its divisors is an integer number (27761513472).

Almost surely, 21012341514404 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 1012341514404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332552646656).

1012341514404 is an abundant number, since it is smaller than the sum of its proper divisors (1652763778908).

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

1012341514404 is a wasteful number, since it uses less digits than its factorization.

1012341514404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475417 (or 475415 counting only the distinct ones).

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

Adding to 1012341514404 its reverse (4044151432101), we get a palindrome (5056492946505).

The spelling of 1012341514404 in words is "one trillion, twelve billion, three hundred forty-one million, five hundred fourteen thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 521 682 1023 1042 1364 1563 2046 2084 3126 4092 5731 6252 11462 16151 17193 22924 32302 34386 48453 64604 68772 96906 177661 193812 355322 474847 532983 710644 949694 1065966 1424541 1899388 2131932 2849082 5223317 5698164 10446634 14720257 15669951 20893268 29440514 31339902 44160771 58881028 62679804 88321542 161922827 176643084 247395287 323845654 485768481 494790574 647691308 742185861 971536962 989581148 1484371722 1943073924 2721348157 2968743444 5442696314 7669253897 8164044471 10885392628 15338507794 16328088942 23007761691 30677015588 32656177884 46015523382 84361792867 92031046764 168723585734 253085378601 337447171468 506170757202 1012341514404