Search a number
-
+
1156311403572 = 2231337643311557
BaseRepresentation
bin10000110100111001100…
…001111100110000110100
311002112122022220110102110
4100310321201330300310
5122421111204403242
62243111354211020
7146353321521543
oct20647141746064
94075568813373
101156311403572
11406430707a56
12168126423a70
13850692a5210
143dd7410815a
152012949139c
hex10d3987cc34

1156311403572 has 96 divisors (see below), whose sum is σ = 2988783371392. Its totient is φ = 345632749056.

The previous prime is 1156311403571. The next prime is 1156311403607. The reversal of 1156311403572 is 2753041136511.

It is a super-3 number, since 3×11563114035723 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1156311403572.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1156311403571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3555618 + ... + 3867174.

Almost surely, 21156311403572 is an apocalyptic number.

1156311403572 is a gapful number since it is divisible by the number (12) 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 1156311403572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494391685696).

1156311403572 is an abundant number, since it is smaller than the sum of its proper divisors (1832471967820).

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

1156311403572 is a wasteful number, since it uses less digits than its factorization.

1156311403572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312257 (or 312255 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The spelling of 1156311403572 in words is "one trillion, one hundred fifty-six billion, three hundred eleven million, four hundred three thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 74 78 111 148 156 222 444 481 643 962 1286 1443 1924 1929 2572 2886 3858 5772 7716 8359 16718 23791 25077 33436 47582 50154 71373 95164 100308 142746 285492 309283 311557 618566 623114 927849 934671 1237132 1246228 1855698 1869342 3711396 3738684 4050241 8100482 11527609 12150723 16200964 23055218 24301446 34582827 46110436 48602892 69165654 138331308 149858917 200331151 299717834 400662302 449576751 599435668 600993453 801324604 899153502 1201986906 1798307004 2403973812 2604304963 5208609926 7412252587 7812914889 10417219852 14824505174 15625829778 22236757761 29649010348 31251659556 44473515522 88947031044 96359283631 192718567262 289077850893 385437134524 578155701786 1156311403572