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1021054413040 = 245137857108707
BaseRepresentation
bin11101101101110111001…
…01011110100011110000
310121121112001000102111121
432312323211132203300
5113212104412204130
62101022123352024
7133524452211304
oct16667345364360
93547461012447
101021054413040
11364032663052
12145a79082614
13753922525cc
14375c27a1d04
151b85ed60d7a
hexedbb95e8f0

1021054413040 has 80 divisors (see below), whose sum is σ = 2394091937952. Its totient is φ = 404963766272.

The previous prime is 1021054413017. The next prime is 1021054413053. The reversal of 1021054413040 is 403144501201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10210544130402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1021054412996 and 1021054413014.

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, 9338367 + ... + 9447073.

Almost surely, 21021054413040 is an apocalyptic number.

1021054413040 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 1021054413040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197045968976).

1021054413040 is an abundant number, since it is smaller than the sum of its proper divisors (1373037524912).

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

1021054413040 is a wasteful number, since it uses less digits than its factorization.

1021054413040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109714 (or 109708 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 1021054413040 its reverse (403144501201), we get a palindrome (1424198914241).

The spelling of 1021054413040 in words is "one trillion, twenty-one billion, fifty-four million, four hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 137 274 548 685 857 1096 1370 1714 2192 2740 3428 4285 5480 6856 8570 10960 13712 17140 34280 68560 108707 117409 217414 234818 434828 469636 543535 587045 869656 939272 1087070 1174090 1739312 1878544 2174140 2348180 4348280 4696360 8696560 9392720 14892859 29785718 59571436 74464295 93161899 119142872 148928590 186323798 238285744 297857180 372647596 465809495 595714360 745295192 931618990 1191428720 1490590384 1863237980 3726475960 7452951920 12763180163 25526360326 51052720652 63815900815 102105441304 127631801630 204210882608 255263603260 510527206520 1021054413040