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2014148970432 = 2634449865327
BaseRepresentation
bin11101010011110100101…
…000100100011111000000
321010112212111122000120000
4131103310220210133000
5230444434114023212
64141142014320000
7265342326524514
oct35236450443700
97115774560500
102014148970432
11707217648785
122864324b9000
13117c199a1621
146d6b1a64144
15375d523a1dc
hex1d4f4a247c0

2014148970432 has 140 divisors (see below), whose sum is σ = 5983872919200. Its totient is φ = 669886930944.

The previous prime is 2014148970413. The next prime is 2014148970523. The reversal of 2014148970432 is 2340798414102.

2014148970432 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 148 + 9 + 70 + 432 = 666.

It is a super-2 number, since 2×20141489704322 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1894953 + ... + 2760279.

Almost surely, 22014148970432 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 2014148970432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2991936459600).

2014148970432 is an abundant number, since it is smaller than the sum of its proper divisors (3969723948768).

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

2014148970432 is an equidigital number, since it uses as much as digits as its factorization.

2014148970432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865800 (or 865781 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 2014148970432 in words is "two trillion, fourteen billion, one hundred forty-eight million, nine hundred seventy thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 449 576 648 864 898 1296 1347 1728 1796 2592 2694 3592 4041 5184 5388 7184 8082 10776 12123 14368 16164 21552 24246 28736 32328 36369 43104 48492 64656 72738 86208 96984 129312 145476 193968 258624 290952 387936 581904 775872 865327 1163808 1730654 2327616 2595981 3461308 5191962 6922616 7787943 10383924 13845232 15575886 20767848 23363829 27690464 31151772 41535696 46727658 55380928 62303544 70091487 83071392 93455316 124607088 140182974 166142784 186910632 249214176 280365948 373821264 388531823 498428352 560731896 747642528 777063646 1121463792 1165595469 1495285056 1554127292 2242927584 2331190938 3108254584 3496786407 4485855168 4662381876 6216509168 6993572814 9324763752 10490359221 12433018336 13987145628 18649527504 20980718442 24866036672 27974291256 31471077663 37299055008 41961436884 55948582512 62942155326 74598110016 83922873768 111897165024 125884310652 167845747536 223794330048 251768621304 335691495072 503537242608 671382990144 1007074485216 2014148970432