Search a number
-
+
34403154379152 = 24313253943494993
BaseRepresentation
bin1111101001010000110111…
…10010111100000110010000
311111210220112222110220010120
413310220123302330012100
514002130130010113102
6201100331350430240
710150355144155116
oct764503362740620
9144726488426116
1034403154379152
11aa64328838839
123a3768a962380
131627285230750
1486d19b79dab6
153e9d895686bc
hex1f4a1bcbc190

34403154379152 has 160 divisors (see below), whose sum is σ = 95790233616000. Its totient is φ = 10576864935936.

The previous prime is 34403154379081. The next prime is 34403154379157. The reversal of 34403154379152 is 25197345130443.

It is a junction number, because it is equal to n+sod(n) for n = 34403154379095 and 34403154379104.

It is not an unprimeable number, because it can be changed into a prime (34403154379157) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6890274768 + ... + 6890279760.

It is an arithmetic number, because the mean of its divisors is an integer number (598688960100).

Almost surely, 234403154379152 is an apocalyptic number.

It is an amenable number.

34403154379152 is an abundant number, since it is smaller than the sum of its proper divisors (61387079236848).

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

34403154379152 is a wasteful number, since it uses less digits than its factorization.

34403154379152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11905 (or 11899 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 51.

The spelling of 34403154379152 in words is "thirty-four trillion, four hundred three billion, one hundred fifty-four million, three hundred seventy-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 2539 4349 4993 5078 7617 8698 9986 10156 13047 14979 15234 17396 19972 20312 26094 29958 30468 33007 34792 39944 40624 52188 56537 59916 60936 64909 66014 69584 79888 99021 104376 113074 119832 121872 129818 132028 169611 194727 198042 208752 226148 239664 259636 264056 339222 389454 396084 452296 519272 528112 678444 778908 792168 904592 1038544 1356888 1557816 1584336 2713776 3115632 11042111 12677227 21714557 22084222 25354454 33126333 38031681 43429114 44168444 50708908 65143671 66252666 76063362 86858228 88336888 101417816 130287342 132505332 143547443 152126724 164803951 173716456 176673776 202835632 260574684 265010664 282289241 287094886 304253448 329607902 347432912 430642329 494411853 521149368 530021328 564578482 574189772 608506896 659215804 846867723 861284658 988823706 1042298736 1129156964 1148379544 1318431608 1693735446 1722569316 1977647412 2258313928 2296759088 2636863216 3387470892 3445138632 3955294824 4516627856 6774941784 6890277264 7910589648 13549883568 55133260223 110266520446 165399780669 220533040892 330799561338 441066081784 661599122676 716732382899 882132163568 1323198245352 1433464765798 2150197148697 2646396490704 2866929531596 4300394297394 5733859063192 8600788594788 11467718126384 17201577189576 34403154379152