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421033514071100 = 2252717211071676267
BaseRepresentation
bin101111110111011011000000…
…1000010110111010000111100
32001012202102002111210020222012
41133232312001002313100330
5420141203114100233400
64051244043130310352
7154453444655425340
oct13756660102672074
92035672074706865
10421033514071100
11112177346410247
123b27b147b883b8
13150c13a0217608
1475d81b8d39620
1533a20abae0d35
hex17eed810b743c

421033514071100 has 144 divisors (see below), whose sum is σ = 1105637514170112. Its totient is φ = 135856397552640.

The previous prime is 421033514071081. The next prime is 421033514071127. The reversal of 421033514071100 is 1170415330124.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 250335167 + ... + 252011433.

It is an arithmetic number, because the mean of its divisors is an integer number (7678038292848).

Almost surely, 2421033514071100 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 421033514071100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552818757085056).

421033514071100 is an abundant number, since it is smaller than the sum of its proper divisors (684604000099012).

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

421033514071100 is a wasteful number, since it uses less digits than its factorization.

421033514071100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1697412 (or 1697405 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The spelling of 421033514071100 in words is "four hundred twenty-one trillion, thirty-three billion, five hundred fourteen million, seventy-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 85 100 119 140 170 175 238 340 350 425 476 595 700 850 1190 1700 2380 2975 5950 11900 21107 42214 84428 105535 147749 211070 295498 358819 422140 527675 590996 717638 738745 1055350 1435276 1477490 1676267 1794095 2110700 2511733 2954980 3352534 3588190 3693725 5023466 6705068 7176380 7387450 8381335 8970475 10046932 11733869 12558665 14774900 16762670 17940950 23467738 25117330 28496539 33525340 35881900 41906675 46935476 50234660 56993078 58669345 62793325 83813350 113986156 117338690 125586650 142482695 167626700 199475773 234677380 251173300 284965390 293346725 398951546 569930780 586693450 712413475 797903092 997378865 1173386900 1424826950 1994757730 2849653900 3989515460 4986894325 9973788650 19947577300 35380967569 70761935138 141523870276 176904837845 247666772983 353809675690 495333545966 601476448673 707619351380 884524189225 990667091932 1202952897346 1238333864915 1769048378450 2405905794692 2476667729830 3007382243365 3538096756900 4210335140711 4953335459660 6014764486730 6191669324575 8420670281422 12029528973460 12383338649150 15036911216825 16841340562844 21051675703555 24766677298300 30073822433650 42103351407110 60147644867300 84206702814220 105258378517775 210516757035550 421033514071100