Search a number
-
+
402432103104 = 26316346327773
BaseRepresentation
bin1011101101100101101…
…00101001001011000000
31102110202012000000020120
411312302310221023000
523043140104244404
6504512540340240
741034433302423
oct5666264511300
91373665000216
10402432103104
11145741481469
1265bb1844680
132bc454872c5
14156991bb9ba
15a7051b19d9
hex5db2d292c0

402432103104 has 112 divisors (see below), whose sum is σ = 1073653074432. Its totient is φ = 133028324352.

The previous prime is 402432103081. The next prime is 402432103111. The reversal of 402432103104 is 401301234204.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 14476162 + ... + 14503934.

Almost surely, 2402432103104 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 402432103104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536826537216).

402432103104 is an abundant number, since it is smaller than the sum of its proper divisors (671220971328).

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

402432103104 is a wasteful number, since it uses less digits than its factorization.

402432103104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28414 (or 28404 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 402432103104 its reverse (401301234204), we get a palindrome (803733337308).

The spelling of 402432103104 in words is "four hundred two billion, four hundred thirty-two million, one hundred three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 163 192 326 463 489 652 926 978 1304 1389 1852 1956 2608 2778 3704 3912 5216 5556 7408 7824 10432 11112 14816 15648 22224 27773 29632 31296 44448 55546 75469 83319 88896 111092 150938 166638 222184 226407 301876 333276 444368 452814 603752 666552 888736 905628 1207504 1333104 1777472 1811256 2415008 2666208 3622512 4526999 4830016 5332416 7245024 9053998 12858899 13580997 14490048 18107996 25717798 27161994 36215992 38576697 51435596 54323988 72431984 77153394 102871192 108647976 144863968 154306788 205742384 217295952 289727936 308613576 411484768 434591904 617227152 822969536 869183808 1234454304 2096000537 2468908608 4192001074 6288001611 8384002148 12576003222 16768004296 25152006444 33536008592 50304012888 67072017184 100608025776 134144034368 201216051552 402432103104