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253340136240 = 24352635637129
BaseRepresentation
bin1110101111110000111…
…1111011001100110000
3220012220201011100122220
43223330033323030300
513122320033324430
6312214410201040
724206001425202
oct3537417731460
9805821140586
10253340136240
11984939a2024
1241123123180
131ab75084a79
14c394278772
1568cb199110
hex3afc3fb330

253340136240 has 160 divisors (see below), whose sum is σ = 789851589120. Its totient is φ = 67171534848.

The previous prime is 253340136227. The next prime is 253340136251. The reversal of 253340136240 is 42631043352.

It is a happy number.

It is a super-2 number, since 2×2533401362402 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35532996 + ... + 35540124.

It is an arithmetic number, because the mean of its divisors is an integer number (4936572432).

Almost surely, 2253340136240 is an apocalyptic number.

253340136240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253340136240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394925794560).

253340136240 is an abundant number, since it is smaller than the sum of its proper divisors (536511452880).

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

253340136240 is a wasteful number, since it uses less digits than its factorization.

253340136240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7971 (or 7965 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

Adding to 253340136240 its reverse (42631043352), we get a palindrome (295971179592).

The spelling of 253340136240 in words is "two hundred fifty-three billion, three hundred forty million, one hundred thirty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 263 526 563 789 1052 1126 1315 1578 1689 2104 2252 2630 2815 3156 3378 3945 4208 4504 5260 5630 6312 6756 7129 7890 8445 9008 10520 11260 12624 13512 14258 15780 16890 21040 21387 22520 27024 28516 31560 33780 35645 42774 45040 57032 63120 67560 71290 85548 106935 114064 135120 142580 148069 171096 213870 285160 296138 342192 427740 444207 570320 592276 740345 855480 888414 1184552 1480690 1710960 1776828 1874927 2221035 2369104 2961380 3553656 3749854 4013627 4442070 5624781 5922760 7107312 7499708 8027254 8884140 9374635 11249562 11845520 12040881 14999416 16054508 17768280 18749270 20068135 22499124 24081762 28123905 29998832 32109016 35536560 37498540 40136270 44998248 48163524 56247810 60204405 64218032 74997080 80272540 89996496 96327048 112495620 120408810 149994160 160545080 192654096 224991240 240817620 321090160 449982480 481635240 963270480 1055583901 2111167802 3166751703 4222335604 5277919505 6333503406 8444671208 10555839010 12667006812 15833758515 16889342416 21111678020 25334013624 31667517030 42223356040 50668027248 63335034060 84446712080 126670068120 253340136240