Search a number
-
+
2630445532440 = 2335112968715923
BaseRepresentation
bin100110010001110010110…
…001011000010100011000
3100022110122021100012102220
4212101302301120110120
5321044123024014230
65332224320424040
7361020615053235
oct46216261302430
910273567305386
102630445532440
11924624a22540
1236596aa78020
1316108597b01b
14914583d678c
1548655b2dd10
hex26472c58518

2630445532440 has 128 divisors (see below), whose sum is σ = 8905583750400. Its totient is φ = 615694661120.

The previous prime is 2630445532417. The next prime is 2630445532453. The reversal of 2630445532440 is 442355440362.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2630445532392 and 2630445532401.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 34319682 + ... + 34396241.

It is an arithmetic number, because the mean of its divisors is an integer number (69574873050).

Almost surely, 22630445532440 is an apocalyptic number.

2630445532440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2630445532440 is an abundant number, since it is smaller than the sum of its proper divisors (6275138217960).

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

2630445532440 is a wasteful number, since it uses less digits than its factorization.

2630445532440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68715977 (or 68715973 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 42.

The spelling of 2630445532440 in words is "two trillion, six hundred thirty billion, four hundred forty-five million, five hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 29 30 33 40 44 55 58 60 66 87 88 110 116 120 132 145 165 174 220 232 264 290 319 330 348 435 440 580 638 660 696 870 957 1160 1276 1320 1595 1740 1914 2552 3190 3480 3828 4785 6380 7656 9570 12760 19140 38280 68715923 137431846 206147769 274863692 343579615 412295538 549727384 687159230 755875153 824591076 1030738845 1374318460 1511750306 1649182152 1992761767 2061477690 2267625459 2748636920 3023500612 3779375765 3985523534 4122955380 4535250918 5978285301 6047001224 7558751530 7971047068 8245910760 9070501836 9963808835 11338127295 11956570602 15117503060 15942094136 18141003672 19927617670 21920379437 22676254590 23913141204 29891426505 30235006120 39855235340 43840758874 45352509180 47826282408 59782853010 65761138311 79710470680 87681517748 90705018360 109601897185 119565706020 131522276622 175363035496 219203794370 239131412040 263044553244 328805691555 438407588740 526089106488 657611383110 876815177480 1315222766220 2630445532440