Search a number
-
+
31445141200 = 245211359063
BaseRepresentation
bin11101010010010001…
…101100011011010000
310000011110120200102021
4131102101230123100
51003344424004300
622240134301224
72162145201334
oct352221543320
9100143520367
1031445141200
1112376a65000
126116ab7814
132c718ba535
14174434b7c4
15c40938d1a
hex75246c6d0

31445141200 has 120 divisors (see below), whose sum is σ = 83097377856. Its totient is φ = 11434403200.

The previous prime is 31445141149. The next prime is 31445141201. The reversal of 31445141200 is 214154413.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31445141201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 502869 + ... + 561931.

Almost surely, 231445141200 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 31445141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41548688928).

31445141200 is an abundant number, since it is smaller than the sum of its proper divisors (51652236656).

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

31445141200 is a wasteful number, since it uses less digits than its factorization.

31445141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59114 (or 59081 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 31445141200 its reverse (214154413), we get a palindrome (31659295613).

The spelling of 31445141200 in words is "thirty-one billion, four hundred forty-five million, one hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 176 200 220 242 275 400 440 484 550 605 880 968 1100 1210 1331 1936 2200 2420 2662 3025 4400 4840 5324 6050 6655 9680 10648 12100 13310 21296 24200 26620 33275 48400 53240 59063 66550 106480 118126 133100 236252 266200 295315 472504 532400 590630 649693 945008 1181260 1299386 1476575 2362520 2598772 2953150 3248465 4725040 5197544 5906300 6496930 7146623 10395088 11812600 12993860 14293246 16242325 23625200 25987720 28586492 32484650 35733115 51975440 57172984 64969300 71466230 78612853 114345968 129938600 142932460 157225706 178665575 259877200 285864920 314451412 357331150 393064265 571729840 628902824 714662300 786128530 1257805648 1429324600 1572257060 1965321325 2858649200 3144514120 3930642650 6289028240 7861285300 15722570600 31445141200