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141832812 = 2231122331137
BaseRepresentation
bin10000111010000…
…11001001101100
3100212212212001010
420131003021230
5242302122222
622023545220
73341362512
oct1035031154
9325785033
10141832812
1173074100
123b5bb210
13234cc654
1414ba04b2
15c6b980c
hex874326c

141832812 has 144 divisors (see below), whose sum is σ = 394684416. Its totient is φ = 39494400.

The previous prime is 141832811. The next prime is 141832813. The reversal of 141832812 is 218238141.

141832812 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (141832811) and next prime (141832813).

It is a self number, because there is not a number n which added to its sum of digits gives 141832812.

It is not an unprimeable number, because it can be changed into a prime (141832811) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1035208 + ... + 1035344.

It is an arithmetic number, because the mean of its divisors is an integer number (2740864).

Almost surely, 2141832812 is an apocalyptic number.

141832812 is a gapful number since it is divisible by the number (12) 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 141832812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197342208).

141832812 is an abundant number, since it is smaller than the sum of its proper divisors (252851604).

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

141832812 is a wasteful number, since it uses less digits than its factorization.

141832812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 207 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 141832812 is about 11909.3581691038. The cubic root of 141832812 is about 521.5055137278.

The spelling of 141832812 in words is "one hundred forty-one million, eight hundred thirty-two thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 23 31 33 44 46 62 66 69 92 93 121 124 132 137 138 186 242 253 274 276 341 363 372 411 484 506 548 682 713 726 759 822 1012 1023 1364 1426 1452 1507 1518 1644 2046 2139 2783 2852 3014 3036 3151 3751 4092 4247 4278 4521 5566 6028 6302 7502 7843 8349 8494 8556 9042 9453 11132 11253 12604 12741 15004 15686 16577 16698 16988 18084 18906 22506 23529 25482 31372 33154 33396 34661 37812 45012 46717 47058 49731 50964 66308 69322 86273 93434 94116 97681 99462 103983 138644 140151 172546 186868 195362 198924 207966 258819 280302 293043 345092 381271 390724 415932 513887 517638 560604 586086 762542 1027774 1035276 1074491 1143813 1172172 1525084 1541661 2055548 2148982 2287626 3083322 3223473 4297964 4575252 6166644 6446946 11819401 12893892 23638802 35458203 47277604 70916406 141832812