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141460720024 = 231323413494133
BaseRepresentation
bin1000001110111110110…
…1110100100110011000
3111112010122022010220211
42003233231310212120
54304202421020044
6144553002100504
713135346165161
oct2035755644630
9445118263824
10141460720024
1154aa1985778
12234baaaa734
13104553b0380
146bbd628768
153a2e0ac634
hex20efb74998

141460720024 has 128 divisors (see below), whose sum is σ = 306279792000. Its totient is φ = 60738416640.

The previous prime is 141460720021. The next prime is 141460720061. The reversal of 141460720024 is 420027064141.

It is a super-2 number, since 2×1414607200242 (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 (141460720021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34225062 + ... + 34229194.

It is an arithmetic number, because the mean of its divisors is an integer number (2392810875).

Almost surely, 2141460720024 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 141460720024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153139896000).

141460720024 is an abundant number, since it is smaller than the sum of its proper divisors (164819071976).

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

141460720024 is a wasteful number, since it uses less digits than its factorization.

141460720024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4565 (or 4561 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

Adding to 141460720024 its reverse (420027064141), we get a palindrome (561487784165).

The spelling of 141460720024 in words is "one hundred forty-one billion, four hundred sixty million, seven hundred twenty thousand, twenty-four".

Divisors: 1 2 4 8 13 23 26 41 46 52 82 92 104 164 184 299 328 349 533 598 698 943 1066 1196 1396 1886 2132 2392 2792 3772 4133 4264 4537 7544 8027 8266 9074 12259 14309 16054 16532 18148 24518 28618 32108 33064 36296 49036 53729 57236 64216 95059 98072 104351 107458 114472 169453 186017 190118 208702 214916 329107 338906 372034 380236 417404 429832 658214 677812 744068 760472 834808 1235767 1316428 1355624 1442417 1488136 2202889 2471534 2632856 2884834 3897419 4278391 4405778 4943068 5769668 7794838 8556782 8811556 9886136 11539336 15589676 17113564 17623112 18751421 31179352 33175591 34227128 37502842 50666447 59139097 66351182 75005684 101332894 118278194 132702364 150011368 202665788 236556388 265404728 405331576 431282683 473112776 768808261 862565366 1360199231 1537616522 1725130732 2720398462 3075233044 3450261464 5440796924 6150466088 10881593848 17682590003 35365180006 70730360012 141460720024