Search a number
-
+
1414540400025 = 352175479192207
BaseRepresentation
bin10100100101011001001…
…011011001010110011001
312000020011202022122112010
4110211121023121112121
5141133434320300100
63001455245540133
7204124426004604
oct24453113312631
95006152278463
101414540400025
114a59a31a7015
121aa192874649
13a351017477c
144c66d79333b
1526bde93b750
hex149592d9599

1414540400025 has 96 divisors (see below), whose sum is σ = 2484629544960. Its totient is φ = 707653739520.

The previous prime is 1414540399999. The next prime is 1414540400027. The reversal of 1414540400025 is 5200040454141.

It is not a de Polignac number, because 1414540400025 - 233 = 1405950465433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1414540399965 and 1414540400001.

It is not an unprimeable number, because it can be changed into a prime (1414540400027) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 640932472 + ... + 640934678.

It is an arithmetic number, because the mean of its divisors is an integer number (25881557760).

Almost surely, 21414540400025 is an apocalyptic number.

1414540400025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1414540400025 is a deficient number, since it is larger than the sum of its proper divisors (1070089144935).

1414540400025 is a wasteful number, since it uses less digits than its factorization.

1414540400025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3703 (or 3698 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 1414540400025 its reverse (5200040454141), we get a palindrome (6614580854166).

The spelling of 1414540400025 in words is "one trillion, four hundred fourteen billion, five hundred forty million, four hundred thousand, twenty-five".

Divisors: 1 3 5 15 17 25 51 75 85 255 425 547 919 1275 1641 2207 2735 2757 4595 6621 8205 9299 11035 13675 13785 15623 22975 27897 33105 37519 41025 46495 46869 55175 68925 78115 112557 139485 165525 187595 232475 234345 390575 502693 562785 697425 937975 1171725 1207229 1508079 2028233 2513465 2813925 3621687 6036145 6084699 7540395 8545781 10141165 12567325 18108435 20522893 25637343 30180725 30423495 34479961 37701975 42728905 50705825 61568679 90542175 102614465 103439883 128186715 152117475 172399805 213644525 307843395 513072325 517199415 640933575 861999025 1109443451 1539216975 2585997075 3328330353 5547217255 16641651765 18860538667 27736086275 56581616001 83208258825 94302693335 282908080005 471513466675 1414540400025