Search a number
-
+
153144103434 = 23721637318203
BaseRepresentation
bin1000111010100000011…
…0011001001000001010
3112122021212122111221220
42032220012121020022
510002114342302214
6154204201342510
714031024254400
oct2165006311012
9478255574856
10153144103434
1159a47943643
122581b797a36
1311597a799aa
1475ab189470
153eb4b3a9a9
hex23a819920a

153144103434 has 48 divisors (see below), whose sum is σ = 356513215968. Its totient is φ = 43728591648.

The previous prime is 153144103397. The next prime is 153144103561. The reversal of 153144103434 is 434301441351.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 153144103395 and 153144103404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 322177 + ... + 640379.

It is an arithmetic number, because the mean of its divisors is an integer number (7427358666).

Almost surely, 2153144103434 is an apocalyptic number.

153144103434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

153144103434 is an abundant number, since it is smaller than the sum of its proper divisors (203369112534).

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

153144103434 is a wasteful number, since it uses less digits than its factorization.

153144103434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319859 (or 319852 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 153144103434 its reverse (434301441351), we get a palindrome (587445544785).

The spelling of 153144103434 in words is "one hundred fifty-three billion, one hundred forty-four million, one hundred three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 1637 3274 4911 9822 11459 22918 34377 68754 80213 160426 240639 318203 481278 636406 954609 1909218 2227421 4454842 6682263 13364526 15591947 31183894 46775841 93551682 520898311 1041796622 1562694933 3125389866 3646288177 7292576354 10938864531 21877729062 25524017239 51048034478 76572051717 153144103434