Search a number
-
+
11454444615030 = 2353753241807901
BaseRepresentation
bin1010011010101111001000…
…0110100011010101110110
31111120000220221101001112120
42212223302012203111312
53000132200310140110
640210033232500410
72261361546524364
oct246536206432566
944500827331476
1011454444615030
11371689140641a
12134bb463aa706
136511c3586421
142b8580478634
1514ce52c45870
hexa6af21a3576

11454444615030 has 128 divisors (see below), whose sum is σ = 28885766887296. Its totient is φ = 2903786496000.

The previous prime is 11454444614959. The next prime is 11454444615077. The reversal of 11454444615030 is 3051644445411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13774080 + ... + 14581980.

It is an arithmetic number, because the mean of its divisors is an integer number (225670053807).

Almost surely, 211454444615030 is an apocalyptic number.

11454444615030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11454444615030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14442883443648).

11454444615030 is an abundant number, since it is smaller than the sum of its proper divisors (17431322272266).

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

11454444615030 is a wasteful number, since it uses less digits than its factorization.

11454444615030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808242.

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 11454444615030 in words is "eleven trillion, four hundred fifty-four billion, four hundred forty-four million, six hundred fifteen thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 37 53 74 106 111 159 185 222 241 265 318 370 482 530 555 723 795 1110 1205 1446 1590 1961 2410 3615 3922 5883 7230 8917 9805 11766 12773 17834 19610 25546 26751 29415 38319 44585 53502 58830 63865 76638 89170 127730 133755 191595 267510 383190 472601 807901 945202 1417803 1615802 2363005 2423703 2835606 4039505 4726010 4847406 7089015 8079010 12118515 14178030 24237030 29892337 42818753 59784674 85637506 89677011 128456259 149461685 179354022 194704141 214093765 256912518 298923370 389408282 428187530 448385055 584112423 642281295 896770110 973520705 1168224846 1284562590 1584293861 1947041410 2920562115 3168587722 4752881583 5841124230 7204053217 7921469305 9505763166 10319319473 14408106434 15842938610 20638638946 21612159651 23764407915 30957958419 36020266085 43224319302 47528815830 51596597365 61915916838 72040532170 103193194730 108060798255 154789792095 216121596510 309579584190 381814820501 763629641002 1145444461503 1909074102505 2290888923006 3818148205010 5727222307515 11454444615030