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1034324531040 = 253511443188311
BaseRepresentation
bin11110000110100101000…
…10111101011101100000
310122212202212002021012110
433003102202331131200
5113421244034443130
62111055004155320
7134504345311053
oct17032242753540
93585685067173
101034324531040
11369722262119
12148561238b40
13766c858ba38
14380c0d62a9a
151bd89d6cab0
hexf0d28bd760

1034324531040 has 96 divisors (see below), whose sum is σ = 3258424302336. Its totient is φ = 275794306560.

The previous prime is 1034324531039. The next prime is 1034324531059. The reversal of 1034324531040 is 401354234301.

1034324531040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10343245310402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1034324530989 and 1034324531007.

It is a congruent number.

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, 5398485 + ... + 5586795.

It is an arithmetic number, because the mean of its divisors is an integer number (33941919816).

Almost surely, 21034324531040 is an apocalyptic number.

1034324531040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1034324531040 is an abundant number, since it is smaller than the sum of its proper divisors (2224099771296).

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

1034324531040 is a wasteful number, since it uses less digits than its factorization.

1034324531040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199772 (or 199764 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 1034324531040 its reverse (401354234301), we get a palindrome (1435678765341).

The spelling of 1034324531040 in words is "one trillion, thirty-four billion, three hundred twenty-four million, five hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 11443 22886 34329 45772 57215 68658 91544 114430 137316 171645 183088 188311 228860 274632 343290 366176 376622 457720 549264 564933 686580 753244 915440 941555 1098528 1129866 1373160 1506488 1830880 1883110 2259732 2746320 2824665 3012976 3766220 4519464 5492640 5649330 6025952 7532440 9038928 11298660 15064880 18077856 22597320 30129760 45194640 90389280 2154842773 4309685546 6464528319 8619371092 10774213865 12929056638 17238742184 21548427730 25858113276 32322641595 34477484368 43096855460 51716226552 64645283190 68954968736 86193710920 103432453104 129290566380 172387421840 206864906208 258581132760 344774843680 517162265520 1034324531040