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240132153400 = 235237223145517
BaseRepresentation
bin1101111110100011111…
…1011110000000111000
3211221211020000022101021
43133220333132000320
512413242312402100
6302152025232224
723230461424456
oct3375077360070
9757736008337
10240132153400
1192926382027
123a657932674
131984b8923c9
14b8a004d9d6
1563a6862a1a
hex37e8fde038

240132153400 has 96 divisors (see below), whose sum is σ = 575971885440. Its totient is φ = 93037109760.

The previous prime is 240132153383. The next prime is 240132153421. The reversal of 240132153400 is 4351231042.

240132153400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2401321534002 (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1577442 + ... + 1722958.

It is an arithmetic number, because the mean of its divisors is an integer number (5999707140).

Almost surely, 2240132153400 is an apocalyptic number.

240132153400 is a gapful number since it is divisible by the number (20) 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 240132153400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287985942720).

240132153400 is an abundant number, since it is smaller than the sum of its proper divisors (335839732040).

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

240132153400 is a wasteful number, since it uses less digits than its factorization.

240132153400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145793 (or 145784 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 240132153400 its reverse (4351231042), we get a palindrome (244483384442).

The spelling of 240132153400 in words is "two hundred forty billion, one hundred thirty-two million, one hundred fifty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 148 185 200 223 296 370 446 740 892 925 1115 1480 1784 1850 2230 3700 4460 5575 7400 8251 8920 11150 16502 22300 33004 41255 44600 66008 82510 145517 165020 206275 291034 330040 412550 582068 727585 825100 1164136 1455170 1650200 2910340 3637925 5384129 5820680 7275850 10768258 14551700 21536516 26920645 29103400 32450291 43073032 53841290 64900582 107682580 129801164 134603225 162251455 215365160 259602328 269206450 324502910 538412900 649005820 811257275 1076825800 1200660767 1298011640 1622514550 2401321534 3245029100 4802643068 6003303835 6490058200 9605286136 12006607670 24013215340 30016519175 48026430680 60033038350 120066076700 240132153400