Search a number
-
+
1103621345040 = 243537953130411
BaseRepresentation
bin10000000011110100111…
…101010100111100010000
310220111122021021011020010
4100003310331110330100
5121040204031020130
62202555135314520
7142506523436544
oct20036475247420
93814567234203
101103621345040
11396052529135
12159a8067ba40
13800c011caa6
143b5b6411a24
151da9387c0b0
hex100f4f54f10

1103621345040 has 160 divisors (see below), whose sum is σ = 3517405693056. Its totient is φ = 286042337280.

The previous prime is 1103621344949. The next prime is 1103621345117. The reversal of 1103621345040 is 405431263011.

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 = 1103621344989 and 1103621345007.

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, 8397435 + ... + 8527845.

Almost surely, 21103621345040 is an apocalyptic number.

1103621345040 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 1103621345040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758702846528).

1103621345040 is an abundant number, since it is smaller than the sum of its proper divisors (2413784348016).

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

1103621345040 is a wasteful number, since it uses less digits than its factorization.

1103621345040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131417 (or 131411 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 1103621345040 in words is "one trillion, one hundred three billion, six hundred twenty-one million, three hundred forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 953 1110 1480 1776 1906 2220 2859 2960 3812 4440 4765 5718 7624 8880 9530 11436 14295 15248 19060 22872 28590 35261 38120 45744 57180 70522 76240 105783 114360 130411 141044 176305 211566 228720 260822 282088 352610 391233 423132 521644 528915 564176 652055 705220 782466 846264 1043288 1057830 1304110 1410440 1564932 1692528 1956165 2086576 2115660 2608220 2820880 3129864 3912330 4231320 4825207 5216440 6259728 7824660 8462640 9650414 10432880 14475621 15649320 19300828 24126035 28951242 31298640 38601656 48252070 57902484 72378105 77203312 96504140 115804968 124281683 144756210 193008280 231609936 248563366 289512420 372845049 386016560 497126732 579024840 621408415 745690098 994253464 1158049680 1242816830 1491380196 1864225245 1988506928 2485633660 2982760392 3728450490 4598422271 4971267320 5965520784 7456900980 9196844542 9942534640 13795266813 14913801960 18393689084 22992111355 27590533626 29827603920 36787378168 45984222710 55181067252 68976334065 73574756336 91968445420 110362134504 137952668130 183936890840 220724269008 275905336260 367873781680 551810672520 1103621345040