Search a number
-
+
103430434003440 = 24352741157227341
BaseRepresentation
bin10111100001000111000110…
…010001110001100111110000
3111120012212000210002201220020
4113201013012101301213300
5102024101012101102230
61003551141352443440
730533413401102345
oct2741070621614760
9446185023081806
10103430434003440
112aa57667629505
12b7256170a9580
1345935a9564b2b
141b780b9c0c7cc
15be56e26b4810
hex5e11c64719f0

103430434003440 has 80 divisors (see below), whose sum is σ = 320751324592416. Its totient is φ = 27571386342400.

The previous prime is 103430434003381. The next prime is 103430434003469. The reversal of 103430434003440 is 44300434034301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77955831 + ... + 79271510.

Almost surely, 2103430434003440 is an apocalyptic number.

103430434003440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103430434003440 is an abundant number, since it is smaller than the sum of its proper divisors (217320890588976).

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

103430434003440 is a wasteful number, since it uses less digits than its factorization.

103430434003440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157230098 (or 157230092 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 103430434003440 its reverse (44300434034301), we get a palindrome (147730868037741).

The spelling of 103430434003440 in words is "one hundred three trillion, four hundred thirty billion, four hundred thirty-four million, three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2741 5482 8223 10964 13705 16446 21928 27410 32892 41115 43856 54820 65784 82230 109640 131568 164460 219280 328920 657840 157227341 314454682 471682023 628909364 786136705 943364046 1257818728 1572273410 1886728092 2358410115 2515637456 3144546820 3773456184 4716820230 6289093640 7546912368 9433640460 12578187280 18867280920 37734561840 430960141681 861920283362 1292880425043 1723840566724 2154800708405 2585760850086 3447681133448 4309601416810 5171521700172 6464402125215 6895362266896 8619202833620 10343043400344 12928804250430 17238405667240 20686086800688 25857608500860 34476811334480 51715217001720 103430434003440