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124014369990 = 2357323523997
BaseRepresentation
bin111001101111111010…
…1010001110011000110
3102212002202220201212110
41303133311101303012
54012440134314430
6132545454201450
711650122516000
oct1633765216306
9385082821773
10124014369990
1148659973775
12200501b3286
13b904a9a724
14600655b370
15335c6187b0
hex1cdfd51cc6

124014369990 has 128 divisors (see below), whose sum is σ = 362187417600. Its totient is φ = 27113649024.

The previous prime is 124014369979. The next prime is 124014369991. The reversal of 124014369990 is 99963410421.

It is a happy number.

It is a super-2 number, since 2×1240143699902 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124014369991) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25329 + ... + 498668.

It is an arithmetic number, because the mean of its divisors is an integer number (2829589200).

Almost surely, 2124014369990 is an apocalyptic number.

124014369990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 124014369990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181093708800).

124014369990 is an abundant number, since it is smaller than the sum of its proper divisors (238173047610).

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

124014369990 is a wasteful number, since it uses less digits than its factorization.

124014369990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524051 (or 524037 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The spelling of 124014369990 in words is "one hundred twenty-four billion, fourteen million, three hundred sixty-nine thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 49 69 70 98 105 115 138 147 161 210 230 245 294 322 343 345 483 490 686 690 735 805 966 1029 1127 1470 1610 1715 2058 2254 2415 3381 3430 4830 5145 5635 6762 7889 10290 11270 15778 16905 23667 33810 39445 47334 78890 118335 236670 523997 1047994 1571991 2619985 3143982 3667979 5239970 7335958 7859955 11003937 12051931 15719910 18339895 22007874 24103862 25675853 36155793 36679790 51351706 55019685 60259655 72311586 77027559 84363517 110039370 120519310 128379265 154055118 168727034 179730971 180778965 253090551 256758530 359461942 361557930 385137795 421817585 506181102 539192913 590544619 770275590 843635170 898654855 1078385826 1181089238 1265452755 1771633857 1797309710 2530905510 2695964565 2952723095 3543267714 4133812333 5391929130 5905446190 8267624666 8858169285 12401436999 17716338570 20669061665 24802873998 41338123330 62007184995 124014369990