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114021430360 = 23537473135237
BaseRepresentation
bin110101000110000110…
…1001111010001011000
3101220022100102210202021
41222030031033101120
53332003441232420
6124214122544224
711144362111135
oct1521415172130
9356270383667
10114021430360
11443a1141282
121a121668074
13a9a16b2ab6
14573931558c
152e751a27aa
hex1a8c34f458

114021430360 has 128 divisors (see below), whose sum is σ = 269999205120. Its totient is φ = 43284713472.

The previous prime is 114021430291. The next prime is 114021430373. The reversal of 114021430360 is 63034120411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21769662 + ... + 21774898.

It is an arithmetic number, because the mean of its divisors is an integer number (2109368790).

Almost surely, 2114021430360 is an apocalyptic number.

114021430360 is a gapful number since it is divisible by the number (10) 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 114021430360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134999602560).

114021430360 is an abundant number, since it is smaller than the sum of its proper divisors (155977774760).

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

114021430360 is a wasteful number, since it uses less digits than its factorization.

114021430360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5645 (or 5641 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 114021430360 its reverse (63034120411), we get a palindrome (177055550771).

The spelling of 114021430360 in words is "one hundred fourteen billion, twenty-one million, four hundred thirty thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 20 37 40 47 74 94 148 185 188 235 296 313 370 376 470 626 740 940 1252 1480 1565 1739 1880 2504 3130 3478 5237 6260 6956 8695 10474 11581 12520 13912 14711 17390 20948 23162 26185 29422 34780 41896 46324 52370 57905 58844 69560 73555 92648 104740 115810 117688 147110 193769 209480 231620 246139 294220 387538 463240 492278 544307 588440 775076 968845 984556 1088614 1230695 1550152 1639181 1937690 1969112 2177228 2461390 2721535 3278362 3875380 4354456 4922780 5443070 6556724 7750760 8195905 9107143 9845560 10886140 13113448 16391810 18214286 21772280 32783620 36428572 45535715 60649697 65567240 72857144 77041507 91071430 121299394 154083014 182142860 242598788 303248485 308166028 364285720 385207535 485197576 606496970 616332056 770415070 1212993940 1540830140 2425987880 2850535759 3081660280 5701071518 11402143036 14252678795 22804286072 28505357590 57010715180 114021430360