Search a number
-
+
42345502464 = 283199673001
BaseRepresentation
bin100111011011111111…
…010001011100000000
311001022010112102000010
4213123333101130000
51143210422034324
631241523024520
73026234555256
oct473377213400
9131263472003
1042345502464
1116a5aa28831
12825950b140
133cbac99945
142099cc25d6
15117c895829
hex9dbfd1700

42345502464 has 144 divisors (see below), whose sum is σ = 118794663680. Its totient is φ = 13353984000.

The previous prime is 42345502429. The next prime is 42345502477. The reversal of 42345502464 is 46420554324.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 14108964 + ... + 14111964.

Almost surely, 242345502464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42345502464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59397331840).

42345502464 is an abundant number, since it is smaller than the sum of its proper divisors (76449161216).

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

42345502464 is a wasteful number, since it uses less digits than its factorization.

42345502464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4006 (or 3992 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 39.

The spelling of 42345502464 in words is "forty-two billion, three hundred forty-five million, five hundred two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 608 768 912 967 1216 1824 1934 2432 2901 3001 3648 3868 4864 5802 6002 7296 7736 9003 11604 12004 14592 15472 18006 18373 23208 24008 30944 36012 36746 46416 48016 55119 57019 61888 72024 73492 92832 96032 110238 114038 123776 144048 146984 171057 185664 192064 220476 228076 247552 288096 293968 342114 371328 384128 440952 456152 576192 587936 684228 742656 768256 881904 912304 1152384 1175872 1368456 1763808 1824608 2304768 2351744 2736912 2901967 3527616 3649216 4703488 5473824 5803934 7055232 7298432 8705901 10947648 11607868 14110464 14596864 17411802 21895296 23215736 34823604 43790592 46431472 55137373 69647208 92862944 110274746 139294416 165412119 185725888 220549492 278588832 330824238 371451776 441098984 557177664 661648476 742903552 882197968 1114355328 1323296952 1764395936 2228710656 2646593904 3528791872 5293187808 7057583744 10586375616 14115167488 21172751232 42345502464