Search a number
-
+
148923141324396 = 223172988192854399
BaseRepresentation
bin100001110111000111011110…
…111011111111111001101100
3201112021220122202220002220120
4201313013132323333321230
5124004424043134340041
61244422202513244540
743240225162063035
oct4167073673777154
9645256582802816
10148923141324396
11434a6a4994a85a
1214852376863750
136513513201bca
1428abcc050ba8c
151233c753a7366
hex8771deeffe6c

148923141324396 has 96 divisors (see below), whose sum is σ = 380658216960000. Its totient is φ = 45104786162688.

The previous prime is 148923141324371. The next prime is 148923141324421. The reversal of 148923141324396 is 693423141329841.

It is an interprime number because it is at equal distance from previous prime (148923141324371) and next prime (148923141324421).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50746005 + ... + 53600403.

It is an arithmetic number, because the mean of its divisors is an integer number (3965189760000).

Almost surely, 2148923141324396 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 148923141324396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190329108480000).

148923141324396 is an abundant number, since it is smaller than the sum of its proper divisors (231735075635604).

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

148923141324396 is a wasteful number, since it uses less digits than its factorization.

148923141324396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2863271 (or 2863269 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 60.

Subtracting 148923141324396 from its reverse (693423141329841), we obtain a palindrome (544500000005445).

The spelling of 148923141324396 in words is "one hundred forty-eight trillion, nine hundred twenty-three billion, one hundred forty-one million, three hundred twenty-four thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 12 17 29 34 51 58 68 87 102 116 174 204 348 493 986 1479 1972 2958 5916 8819 17638 26457 35276 52914 105828 149923 255751 299846 449769 511502 599692 767253 899538 1023004 1534506 1799076 2854399 3069012 4347767 5708798 8563197 8695534 11417596 13043301 17126394 17391068 26086602 34252788 48524783 52173204 82777571 97049566 145574349 165555142 194099132 248332713 291148698 331110284 496665426 582297396 993330852 1407218707 2814437414 4221656121 5628874828 8443312242 16886624484 25172944781 50345889562 75518834343 100691779124 151037668686 302075337372 427940061277 730015398649 855880122554 1283820183831 1460030797298 1711760245108 2190046195947 2567640367662 2920061594596 4380092391894 5135280735324 8760184783788 12410261777033 24820523554066 37230785331099 49641047108132 74461570662198 148923141324396