Search a number
-
+
123400434430 = 25713737612441
BaseRepresentation
bin111001011101100111…
…1010011001011111110
3102210111222200120121101
41302323033103023332
54010211002400210
6132404523323314
711625656246260
oct1627317231376
9383458616541
10123400434430
1148374367909
121baba68053a
13b837832b50
145d88bc7b30
153323796a3a
hex1cbb3d32fe

123400434430 has 128 divisors (see below), whose sum is σ = 277602183936. Its totient is φ = 38452838400.

The previous prime is 123400434407. The next prime is 123400434461. The reversal of 123400434430 is 34434004321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50552010 + ... + 50554450.

It is an arithmetic number, because the mean of its divisors is an integer number (2168767062).

Almost surely, 2123400434430 is an apocalyptic number.

123400434430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

123400434430 is an abundant number, since it is smaller than the sum of its proper divisors (154201749506).

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

123400434430 is a wasteful number, since it uses less digits than its factorization.

123400434430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3302.

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 123400434430 its reverse (34434004321), we get a palindrome (157834438751).

The spelling of 123400434430 in words is "one hundred twenty-three billion, four hundred million, four hundred thirty-four thousand, four hundred thirty".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 73 91 130 146 182 365 455 511 730 761 910 949 1022 1522 1898 2441 2555 3805 4745 4882 5110 5327 6643 7610 9490 9893 10654 12205 13286 17087 19786 24410 26635 31733 33215 34174 49465 53270 55553 63466 66430 69251 85435 98930 111106 138502 158665 170870 178193 222131 277765 317330 346255 356386 388871 444262 555530 692510 722189 777742 890965 1110655 1247351 1444378 1781930 1857601 1944355 2221310 2316509 2494702 3610945 3715202 3888710 4633018 5055323 6236755 7221890 9288005 10110646 11582545 12473510 13003207 16215563 18576010 23165090 24148813 25276615 26006414 32431126 48297626 50553230 65016035 81077815 120744065 130032070 135604873 162155630 169041691 241488130 271209746 338083382 678024365 845208455 949234111 1356048730 1690416910 1762863349 1898468222 3525726698 4746170555 8814316745 9492341110 12340043443 17628633490 24680086886 61700217215 123400434430