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1141014441320 = 2351341293182657
BaseRepresentation
bin10000100110101001110…
…000101010110101101000
311001002011020222021002222
4100212221300222311220
5122143244144110240
62232101431213212
7145302254504135
oct20465160526550
94032136867088
101141014441320
113aa9a09a6896
12165177517208
138379c082c70
143d3226a158c
151ea3156ceb5
hex109a9c2ad68

1141014441320 has 128 divisors (see below), whose sum is σ = 2841880839840. Its totient is φ = 409617039360.

The previous prime is 1141014441319. The next prime is 1141014441373. The reversal of 1141014441320 is 231444101411.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 53528375044 + 1087486066276 = 231362^2 + 1042826^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 1141014441320.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6155432 + ... + 6338088.

Almost surely, 21141014441320 is an apocalyptic number.

1141014441320 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 1141014441320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420940419920).

1141014441320 is an abundant number, since it is smaller than the sum of its proper divisors (1700866398520).

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

1141014441320 is a wasteful number, since it uses less digits than its factorization.

1141014441320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183015 (or 183011 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 1141014441320 its reverse (231444101411), we get a palindrome (1372458542731).

The spelling of 1141014441320 in words is "one trillion, one hundred forty-one billion, fourteen million, four hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 41 52 65 82 104 130 164 205 260 293 328 410 520 533 586 820 1066 1172 1465 1640 2132 2344 2665 2930 3809 4264 5330 5860 7618 10660 11720 12013 15236 19045 21320 24026 30472 38090 48052 60065 76180 96104 120130 152360 156169 182657 240260 312338 365314 480520 624676 730628 780845 913285 1249352 1461256 1561690 1826570 2374541 3123380 3653140 4749082 6246760 7306280 7488937 9498164 11872705 14977874 18996328 23745410 29955748 37444685 47490820 53518501 59911496 74889370 94981640 97356181 107037002 149778740 194712362 214074004 267592505 299557480 389424724 428148008 486780905 535185010 695740513 778849448 973561810 1070370020 1391481026 1947123620 2140740040 2194258541 2782962052 3478702565 3894247240 4388517082 5565924104 6957405130 8777034164 10971292705 13914810260 17554068328 21942585410 27829620520 28525361033 43885170820 57050722066 87770341640 114101444132 142626805165 228202888264 285253610330 570507220660 1141014441320