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153424412140 = 2251719137173357
BaseRepresentation
bin1000111011100011001…
…1101011110111101100
3112200000102002200012211
42032320303223313230
510003203122142030
6154252053340204
714040666662056
oct2167063536754
9480012080184
10153424412140
115a08109872a
1225899637664
1311610b71a2c
1475d64b48d6
153ece55a12a
hex23b8cebdec

153424412140 has 96 divisors (see below), whose sum is σ = 361721868480. Its totient is φ = 54320062464.

The previous prime is 153424412129. The next prime is 153424412143. The reversal of 153424412140 is 41214424351.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (153424412143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 798342 + ... + 971698.

It is an arithmetic number, because the mean of its divisors is an integer number (3767936130).

Almost surely, 2153424412140 is an apocalyptic number.

153424412140 is a gapful number since it is divisible by the number (10) 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 153424412140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180860934240).

153424412140 is an abundant number, since it is smaller than the sum of its proper divisors (208297456340).

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

153424412140 is a wasteful number, since it uses less digits than its factorization.

153424412140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173539 (or 173537 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

Adding to 153424412140 its reverse (41214424351), we get a palindrome (194638836491).

The spelling of 153424412140 in words is "one hundred fifty-three billion, four hundred twenty-four million, four hundred twelve thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 137 170 190 274 323 340 380 548 646 685 1292 1370 1615 2329 2603 2740 3230 4658 5206 6460 9316 10412 11645 13015 23290 26030 44251 46580 52060 88502 173357 177004 221255 346714 442510 693428 866785 885020 1733570 2947069 3293783 3467140 5894138 6587566 11788276 13175132 14735345 16468915 23749909 29470690 32937830 47499818 55994311 58941380 65875660 94999636 111988622 118749545 223977244 237499090 279971555 403748453 451248271 474998180 559943110 807496906 902496542 1119886220 1614993812 1804993084 2018742265 2256241355 4037484530 4512482710 7671220607 8074969060 9024965420 15342441214 30684882428 38356103035 76712206070 153424412140