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1035424301004 = 22324112741913183
BaseRepresentation
bin11110001000101000001…
…10001111111111001100
310122222121111111100222100
433010110012033333030
5113431022110113004
62111400052115100
7134543531225352
oct17042406177714
93588544440870
101035424301004
1136a13702a615
12148809605a90
137684238bab2
14381870417d2
151be016aa739
hexf11418ffcc

1035424301004 has 144 divisors (see below), whose sum is σ = 2708925972480. Its totient is φ = 333249396480.

The previous prime is 1035424300997. The next prime is 1035424301063. The reversal of 1035424301004 is 4001034245301.

It is a happy number.

1035424301004 is a `hidden beast` number, since 1 + 0 + 354 + 2 + 4 + 301 + 0 + 0 + 4 = 666.

It is a super-3 number, since 3×10354243010043 (a number of 37 digits) contains 333 as substring.

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, 78535797 + ... + 78548979.

It is an arithmetic number, because the mean of its divisors is an integer number (18811985920).

Almost surely, 21035424301004 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 1035424301004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354462986240).

1035424301004 is an abundant number, since it is smaller than the sum of its proper divisors (1673501671476).

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

1035424301004 is a wasteful number, since it uses less digits than its factorization.

1035424301004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13780 (or 13775 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 1035424301004 its reverse (4001034245301), we get a palindrome (5036458546305).

The spelling of 1035424301004 in words is "one trillion, thirty-five billion, four hundred twenty-four million, three hundred one thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 127 164 246 254 369 381 419 492 508 738 762 838 1143 1257 1476 1524 1676 2286 2514 3771 4572 5028 5207 7542 10414 13183 15084 15621 17179 20828 26366 31242 34358 39549 46863 51537 52732 53213 62484 68716 79098 93726 103074 106426 118647 154611 158196 159639 187452 206148 212852 237294 309222 319278 474588 478917 540503 618444 638556 957834 1081006 1621509 1674241 1915668 2162012 2181733 3243018 3348482 4363466 4864527 5022723 5523677 6486036 6545199 6696964 8726932 9729054 10045446 11047354 13090398 15068169 16571031 19458108 19635597 20090892 22094708 26180796 30136338 33142062 39271194 49713093 60272676 66284124 68643881 78542388 99426186 137287762 198852372 205931643 226470757 274575524 411863286 452941514 617794929 679412271 701506979 823726572 905883028 1235589858 1358824542 1403013958 2038236813 2104520937 2471179716 2717649084 2806027916 4076473626 4209041874 6313562811 8152947252 8418083748 12627125622 25254251244 28761786139 57523572278 86285358417 115047144556 172570716834 258856075251 345141433668 517712150502 1035424301004