Search a number
-
+
140414222431040 = 2654336727805237
BaseRepresentation
bin11111111011010010111011…
…110110010111001101000000
3200102011110122120211021012012
4133323102323312113031000
5121401021311420243130
61214345223035152052
741401410220615445
oct3773227366271500
9612143576737165
10140414222431040
1140816378a75588
12138b9272ba5628
1360470097699bc
1426961283079cc
151137769803995
hex7fb4bbd97340

140414222431040 has 112 divisors (see below), whose sum is σ = 343069479236352. Its totient is φ = 54710027237376.

The previous prime is 140414222431031. The next prime is 140414222431081. The reversal of 140414222431040 is 40134222414041.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 140414222430988 and 140414222431006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8852699 + ... + 18952538.

Almost surely, 2140414222431040 is an apocalyptic number.

140414222431040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140414222431040 is an abundant number, since it is smaller than the sum of its proper divisors (202655256805312).

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

140414222431040 is a wasteful number, since it uses less digits than its factorization.

140414222431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27805664 (or 27805654 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 140414222431040 its reverse (40134222414041), we get a palindrome (180548444845081).

The spelling of 140414222431040 in words is "one hundred forty trillion, four hundred fourteen billion, two hundred twenty-two million, four hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 160 172 215 320 344 367 430 688 734 860 1376 1468 1720 1835 2752 2936 3440 3670 5872 6880 7340 11744 13760 14680 15781 23488 29360 31562 58720 63124 78905 117440 126248 157810 252496 315620 504992 631240 1009984 1262480 2524960 5049920 27805237 55610474 111220948 139026185 222441896 278052370 444883792 556104740 889767584 1112209480 1195625191 1779535168 2224418960 2391250382 4448837920 4782500764 5978125955 8897675840 9565001528 10204521979 11956251910 19130003056 20409043958 23912503820 38260006112 40818087916 47825007640 51022609895 76520012224 81636175832 95650015280 102045219790 163272351664 191300030560 204090439580 326544703328 382600061120 408180879160 438794445097 653089406656 816361758320 877588890194 1632723516640 1755177780388 2193972225485 3265447033280 3510355560776 4387944450970 7020711121552 8775888901940 14041422243104 17551777803880 28082844486208 35103555607760 70207111215520 140414222431040