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1105550145540 = 2232559349298283
BaseRepresentation
bin10000000101100111111…
…011000111100000000100
310220200121200122101002200
4100011213323013200010
5121103131314124130
62203514400234500
7142605364120611
oct20054773074004
93820550571080
101105550145540
11396952265535
1215a31a60ba30
13803398c8669
143b71a655508
151db57d78760
hex10167ec7804

1105550145540 has 144 divisors (see below), whose sum is σ = 3420124344000. Its totient is φ = 288985146624.

The previous prime is 1105550145529. The next prime is 1105550145563. The reversal of 1105550145540 is 455410555011.

1105550145540 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 550 + 14 + 55 + 40 = 666.

It is a super-2 number, since 2×11055501455402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1105550145495 and 1105550145504.

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 47 ways as a sum of consecutive naturals, for example, 3557239 + ... + 3855521.

It is an arithmetic number, because the mean of its divisors is an integer number (23750863500).

Almost surely, 21105550145540 is an apocalyptic number.

1105550145540 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 1105550145540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710062172000).

1105550145540 is an abundant number, since it is smaller than the sum of its proper divisors (2314574198460).

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

1105550145540 is a wasteful number, since it uses less digits than its factorization.

1105550145540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298706 (or 298701 counting only the distinct ones).

The product of its (nonzero) digits is 50000, while the sum is 36.

The spelling of 1105550145540 in words is "one trillion, one hundred five billion, five hundred fifty million, one hundred forty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 118 177 180 236 295 349 354 531 590 698 708 885 1047 1062 1180 1396 1745 1770 2094 2124 2655 3141 3490 3540 4188 5235 5310 6282 6980 10470 10620 12564 15705 20591 20940 31410 41182 61773 62820 82364 102955 123546 185319 205910 247092 298283 308865 370638 411820 596566 617730 741276 894849 926595 1193132 1235460 1491415 1789698 1853190 2684547 2982830 3579396 3706380 4474245 5369094 5965660 8948490 10738188 13422735 17598697 17896980 26845470 35197394 52796091 53690940 70394788 87993485 104100767 105592182 158388273 175986970 208201534 211184364 263980455 312302301 316776546 351973940 416403068 520503835 527960910 624604602 633553092 791941365 936906903 1041007670 1055921820 1249209204 1561511505 1583882730 1873813806 2082015340 3123023010 3167765460 3747627612 4684534515 6141945253 6246046020 9369069030 12283890506 18425835759 18738138060 24567781012 30709726265 36851671518 55277507277 61419452530 73703343036 92129178795 110555014554 122838905060 184258357590 221110029108 276387536385 368516715180 552775072770 1105550145540