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245040301552144 = 24724110039759359
BaseRepresentation
bin110111101101110011100100…
…001000010011001000010000
31012010121121211221011011120111
4313231303210020103020100
5224104220014144132034
62225053543244251104
7102420402050600200
oct6755634410231020
91163547757134514
10245040301552144
117109401004756a
1223596551240a94
13a6962802c2577
14447202a10c400
151d4e0d96cd364
hexdedce4213210

245040301552144 has 120 divisors (see below), whose sum is σ = 565805636121600. Its totient is φ = 102445534517760.

The previous prime is 245040301552093. The next prime is 245040301552147. The reversal of 245040301552144 is 441255103040542.

It is a junction number, because it is equal to n+sod(n) for n = 245040301552097 and 245040301552106.

It is not an unprimeable number, because it can be changed into a prime (245040301552147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 322313937 + ... + 323073295.

It is an arithmetic number, because the mean of its divisors is an integer number (4715046967680).

Almost surely, 2245040301552144 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 245040301552144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282902818060800).

245040301552144 is an abundant number, since it is smaller than the sum of its proper divisors (320765334569456).

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

245040301552144 is a wasteful number, since it uses less digits than its factorization.

245040301552144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769461 (or 769448 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 40.

Adding to 245040301552144 its reverse (441255103040542), we get a palindrome (686295404592686).

The spelling of 245040301552144 in words is "two hundred forty-five trillion, forty billion, three hundred one million, five hundred fifty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 41 49 56 82 98 112 164 196 287 328 392 574 656 784 1148 2009 2296 4018 4592 8036 10039 16072 20078 32144 40156 70273 80312 140546 160624 281092 411599 491911 562184 759359 823198 983822 1124368 1518718 1646396 1967644 2881193 3037436 3292792 3935288 5315513 5762386 6074872 6585584 7870576 10631026 11524772 12149744 20168351 21262052 23049544 31133719 37208591 40336702 42524104 46099088 62267438 74417182 80673404 85048208 124534876 148834364 161346808 217936033 249069752 297668728 322693616 435872066 498139504 595337456 871744132 1525552231 1743488264 3051104462 3486976528 6102208924 7623205001 12204417848 15246410002 24408835696 30492820004 53362435007 60985640008 106724870014 121971280016 213449740028 312551405041 373537045049 426899480056 625102810082 747074090098 853798960112 1250205620164 1494148180196 2187859835287 2500411240328 2988296360392 4375719670574 5000822480656 5976592720784 8751439341148 15315018847009 17502878682296 30630037694018 35005757364592 61260075388036 122520150776072 245040301552144